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102166152 = 23311386993
BaseRepresentation
bin1100001011011…
…10111010001000
321010020120121120
412011232322020
5202123304102
614045435240
72350253334
oct605567210
9233216546
10102166152
1152740a40
122a26bb20
131822175a
14d7d67c4
158e816bc
hex616ee88

102166152 has 32 divisors (see below), whose sum is σ = 278635680. Its totient is φ = 30959360.

The previous prime is 102166121. The next prime is 102166153. The reversal of 102166152 is 251661201.

It is a super-2 number, since 2×1021661522 = 20875845228974208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102166153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193233 + ... + 193760.

It is an arithmetic number, because the mean of its divisors is an integer number (8707365).

Almost surely, 2102166152 is an apocalyptic number.

102166152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102166152 is an abundant number, since it is smaller than the sum of its proper divisors (176469528).

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

102166152 is a wasteful number, since it uses less digits than its factorization.

102166152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387013 (or 387009 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 102166152 is about 10107.7273410001. The cubic root of 102166152 is about 467.4864334954.

The spelling of 102166152 in words is "one hundred two million, one hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 386993 773986 1160979 1547972 2321958 3095944 4256923 4643916 8513846 9287832 12770769 17027692 25541538 34055384 51083076 102166152