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102325504 = 28419749
BaseRepresentation
bin1100001100101…
…01110100000000
321010112200012111
412012111310000
5202143404004
614053105104
72351516041
oct606256400
9233480174
10102325504
115283a736
122a328194
1318279148
14d8388c8
158eb3a04
hex6195d00

102325504 has 36 divisors (see below), whose sum is σ = 209254500. Its totient is φ = 49909760.

The previous prime is 102325501. The next prime is 102325519. The reversal of 102325504 is 405523201.

It can be written as a sum of positive squares in 2 ways, for example, as 9241600 + 93083904 = 3040^2 + 9648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102325501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5622 + ... + 15370.

It is an arithmetic number, because the mean of its divisors is an integer number (5812625).

Almost surely, 2102325504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104627250).

102325504 is an abundant number, since it is smaller than the sum of its proper divisors (106928996).

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

102325504 is an frugal number, since it uses more digits than its factorization.

102325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9806 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 102325504 is about 10115.6069516367. The cubic root of 102325504 is about 467.7293587026.

Adding to 102325504 its reverse (405523201), we get a palindrome (507848705).

The spelling of 102325504 in words is "one hundred two million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 9749 10496 19498 38996 77992 155984 311968 399709 623936 799418 1247872 1598836 2495744 3197672 6395344 12790688 25581376 51162752 102325504