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102257364 = 223112926713
BaseRepresentation
bin1100001100001…
…01001011010100
321010102012201210
412012011023110
5202134213424
614051421420
72351113266
oct606051324
9233365653
10102257364
11527a3520
122a2b4870
1318254121
14d81bb36
158e9d729
hex61852d4

102257364 has 48 divisors (see below), whose sum is σ = 269277120. Its totient is φ = 29917440.

The previous prime is 102257347. The next prime is 102257377. The reversal of 102257364 is 463752201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9529 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (5609940).

Almost surely, 2102257364 is an apocalyptic number.

It is an amenable number.

102257364 is an abundant number, since it is smaller than the sum of its proper divisors (167019756).

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

102257364 is a wasteful number, since it uses less digits than its factorization.

102257364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26760 (or 26758 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 102257364 is about 10112.2383278876. The cubic root of 102257364 is about 467.6255131172.

The spelling of 102257364 in words is "one hundred two million, two hundred fifty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 26713 53426 80139 106852 160278 293843 320556 587686 774677 881529 1175372 1549354 1763058 2324031 3098708 3526116 4648062 8521447 9296124 17042894 25564341 34085788 51128682 102257364