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2097431040 = 2935793457
BaseRepresentation
bin111110100000100…
…0100001000000000
312102011200112111010
41331001010020000
513243420243130
6544043120520
7102655604205
oct17501041000
95364615433
102097431040
11986a43a91
124a6513140
132756cb773
1415c7bbcac
15c420b0b0
hex7d044200

2097431040 has 160 divisors (see below), whose sum is σ = 6792065280. Its totient is φ = 552075264.

The previous prime is 2097431027. The next prime is 2097431041. The reversal of 2097431040 is 401347902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2097430989 and 2097431007.

It is not an unprimeable number, because it can be changed into a prime (2097431041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604992 + ... + 608448.

It is an arithmetic number, because the mean of its divisors is an integer number (42450408).

Almost surely, 22097431040 is an apocalyptic number.

2097431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396032640).

2097431040 is an abundant number, since it is smaller than the sum of its proper divisors (4694634240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2097431040 is an equidigital number, since it uses as much as digits as its factorization.

2097431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2097431040 is about 45797.7187204778. The cubic root of 2097431040 is about 1280.0567683156.

Adding to 2097431040 its reverse (401347902), we get a palindrome (2498778942).

The spelling of 2097431040 in words is "two billion, ninety-seven million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 256 316 320 384 395 474 480 512 632 640 768 790 948 960 1185 1264 1280 1536 1580 1896 1920 2370 2528 2560 3160 3457 3792 3840 4740 5056 6320 6914 7584 7680 9480 10112 10371 12640 13828 15168 17285 18960 20224 20742 25280 27656 30336 34570 37920 40448 41484 50560 51855 55312 60672 69140 75840 82968 101120 103710 110624 121344 138280 151680 165936 202240 207420 221248 273103 276560 303360 331872 414840 442496 546206 553120 606720 663744 819309 829680 884992 1092412 1106240 1327488 1365515 1638618 1659360 1769984 2184824 2212480 2654976 2731030 3277236 3318720 4096545 4369648 4424960 5309952 5462060 6554472 6637440 8193090 8739296 8849920 10924120 13108944 13274880 16386180 17478592 21848240 26217888 26549760 32772360 34957184 43696480 52435776 65544720 69914368 87392960 104871552 131089440 139828736 174785920 209743104 262178880 349571840 419486208 524357760 699143680 1048715520 2097431040