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2690070480 = 243351773259
BaseRepresentation
bin1010000001010111…
…0011011111010000
320221110211201222000
42200111303133100
521002124223410
61122533314000
7123443136036
oct24025633720
96843751860
102690070480
111160524849
12630a95900
1333b41aca6
141b73aa556
1510b272dc0
hexa05737d0

2690070480 has 160 divisors (see below), whose sum is σ = 9810979200. Its totient is φ = 675145728.

The previous prime is 2690070473. The next prime is 2690070529. The reversal of 2690070480 is 840700962.

2690070480 is a `hidden beast` number, since 26 + 90 + 0 + 70 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91 + ... + 73349.

It is an arithmetic number, because the mean of its divisors is an integer number (61318620).

Almost surely, 22690070480 is an apocalyptic number.

2690070480 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 2690070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905489600).

2690070480 is an abundant number, since it is smaller than the sum of its proper divisors (7120908720).

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

2690070480 is a wasteful number, since it uses less digits than its factorization.

2690070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73298 (or 73286 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2690070480 is about 51865.8893686400. The cubic root of 2690070480 is about 1390.7675625456.

The spelling of 2690070480 in words is "two billion, six hundred ninety million, seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 73259 146518 219777 293036 366295 439554 586072 659331 732590 879108 1098885 1172144 1245403 1318662 1465180 1758216 1977993 2197770 2490806 2637324 2930360 3296655 3516432 3736209 3955986 4395540 4981612 5274648 5860720 6227015 6593310 7472418 7911972 8791080 9889965 9963224 10549296 11208627 12454030 13186620 14944836 15823944 17582160 18681045 19779930 19926448 22417254 24908060 26373240 29889672 31647888 33625881 37362090 39559860 44834508 49816120 52746480 56043135 59779344 67251762 74724180 79119720 89669016 99632240 112086270 134503524 149448360 158239440 168129405 179338032 224172540 269007048 298896720 336258810 448345080 538014096 672517620 896690160 1345035240 2690070480