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252930288060 = 223251405168267
BaseRepresentation
bin1110101110001111010…
…0011110100110111100
3220011212010221220122200
43223203310132212330
513121000123204220
6312110005511500
724162563655432
oct3534364364674
9804763856580
10252930288060
11982a361001a
1241029a12590
131ab0b1a5a58
14c355a6cd52
1568a51dc890
hex3ae3d1e9bc

252930288060 has 36 divisors (see below), whose sum is σ = 767221874328. Its totient is φ = 67448076768.

The previous prime is 252930288053. The next prime is 252930288067. The reversal of 252930288060 is 60882039252.

It is a happy number.

252930288060 is a `hidden beast` number, since 25 + 293 + 0 + 288 + 0 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (252930288053) and next prime (252930288067).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2529302880602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 252930287997 and 252930288015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252930288067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702583954 + ... + 702584313.

Almost surely, 2252930288060 is an apocalyptic number.

252930288060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252930288060 is an abundant number, since it is smaller than the sum of its proper divisors (514291586268).

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

252930288060 is a wasteful number, since it uses less digits than its factorization.

252930288060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405168282 (or 1405168277 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 252930288060 in words is "two hundred fifty-two billion, nine hundred thirty million, two hundred eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1405168267 2810336534 4215504801 5620673068 7025841335 8431009602 12646514403 14051682670 16862019204 21077524005 25293028806 28103365340 42155048010 50586057612 63232572015 84310096020 126465144030 252930288060