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102932388 = 223213219941
BaseRepresentation
bin1100010001010…
…01111110100100
321011200111200200
412020221332210
5202322314023
614114110500
72356624266
oct610517644
9234614620
10102932388
1153114699
122a57b430
131842c450
14d955b36
159083743
hex6229fa4

102932388 has 36 divisors (see below), whose sum is σ = 280206108. Its totient is φ = 31671360.

The previous prime is 102932387. The next prime is 102932393. The reversal of 102932388 is 883239201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 63393444 = 6288^2 + 7962^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (102932387) 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 11 ways as a sum of consecutive naturals, for example, 109503 + ... + 110438.

It is an arithmetic number, because the mean of its divisors is an integer number (7783503).

Almost surely, 2102932388 is an apocalyptic number.

102932388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102932388 is an abundant number, since it is smaller than the sum of its proper divisors (177273720).

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

102932388 is a wasteful number, since it uses less digits than its factorization.

102932388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219964 (or 219959 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 102932388 is about 10145.5600141145. The cubic root of 102932388 is about 468.6522245133.

The spelling of 102932388 in words is "one hundred two million, nine hundred thirty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 219941 439882 659823 879764 1319646 1979469 2639292 2859233 3958938 5718466 7917876 8577699 11436932 17155398 25733097 34310796 51466194 102932388