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116172252 = 22337314957
BaseRepresentation
bin1101110110010…
…10010111011100
322002121011101000
412323022113130
5214220003002
615305550300
72610306420
oct673122734
9262534330
10116172252
115a637a29
1232aa5390
131b0b68a1
1411600b80
15a2eb61c
hex6eca5dc

116172252 has 96 divisors (see below), whose sum is σ = 355389440. Its totient is φ = 32114880.

The previous prime is 116172247. The next prime is 116172257. The reversal of 116172252 is 252271611.

It is an interprime number because it is at equal distance from previous prime (116172247) and next prime (116172257).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116172257) 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, 20958 + ... + 25914.

Almost surely, 2116172252 is an apocalyptic number.

116172252 is a gapful number since it is divisible by the number (12) 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 116172252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177694720).

116172252 is an abundant number, since it is smaller than the sum of its proper divisors (239217188).

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

116172252 is a wasteful number, since it uses less digits than its factorization.

116172252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 5000 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 116172252 is about 10778.3232462197. The cubic root of 116172252 is about 487.9411769553.

The spelling of 116172252 in words is "one hundred sixteen million, one hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 4957 5859 7812 9914 11718 14871 19828 23436 29742 34699 44613 59484 69398 89226 104097 133839 138796 153667 178452 208194 267678 307334 312291 416388 461001 535356 614668 624582 922002 936873 1075669 1249164 1383003 1844004 1873746 2151338 2766006 3227007 3747492 4149009 4302676 5532012 6454014 8298018 9681021 12908028 16596036 19362042 29043063 38724084 58086126 116172252