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2117451240 = 233352967607
BaseRepresentation
bin111111000110101…
…1011110111101000
312110120100200001000
41332031123313220
513314031414430
6550040155000
7103321016142
oct17615336750
95416320030
102117451240
11997278503
124b1168a60
132798bb138
1416130dc92
15c5d62e60
hex7e35bde8

2117451240 has 128 divisors (see below), whose sum is σ = 7301664000. Its totient is φ = 545174784.

The previous prime is 2117451239. The next prime is 2117451241. The reversal of 2117451240 is 421547112.

It is an interprime number because it is at equal distance from previous prime (2117451239) and next prime (2117451241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2117451241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484 + ... + 65123.

It is an arithmetic number, because the mean of its divisors is an integer number (57044250).

Almost surely, 22117451240 is an apocalyptic number.

2117451240 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 2117451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650832000).

2117451240 is an abundant number, since it is smaller than the sum of its proper divisors (5184212760).

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

2117451240 is a wasteful number, since it uses less digits than its factorization.

2117451240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67656 (or 67646 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2117451240 is about 46015.7716440787. The cubic root of 2117451240 is about 1284.1166371467.

Adding to 2117451240 its reverse (421547112), we get a palindrome (2538998352).

The spelling of 2117451240 in words is "two billion, one hundred seventeen million, four hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 67607 135214 202821 270428 338035 405642 540856 608463 676070 811284 1014105 1216926 1352140 1622568 1825389 1960603 2028210 2433852 2704280 3042315 3650778 3921206 4056420 4867704 5881809 6084630 7301556 7842412 8112840 9126945 9803015 11763618 12169260 14603112 15684824 17645427 18253890 19606030 23527236 24338520 29409045 35290854 36507780 39212060 47054472 52936281 58818090 70581708 73015560 78424120 88227135 105872562 117636180 141163416 176454270 211745124 235272360 264681405 352908540 423490248 529362810 705817080 1058725620 2117451240