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102474096 = 24317314051
BaseRepresentation
bin1100001101110…
…10000101110000
321010211020000220
412012322011300
5202213132341
614100213040
72353005204
oct606720560
9233736026
10102474096
115293133a
122a39a180
13182cb97a
14d876b04
158ee2a66
hex61ba170

102474096 has 80 divisors (see below), whose sum is σ = 289410048. Its totient is φ = 31104000.

The previous prime is 102474089. The next prime is 102474101. The reversal of 102474096 is 690474201.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23271 + ... + 27321.

Almost surely, 2102474096 is an apocalyptic number.

102474096 is a gapful number since it is divisible by the number (16) 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 102474096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144705024).

102474096 is an abundant number, since it is smaller than the sum of its proper divisors (186935952).

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

102474096 is a wasteful number, since it uses less digits than its factorization.

102474096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 102474096 is about 10122.9489774472. The cubic root of 102474096 is about 467.9556536254.

The spelling of 102474096 in words is "one hundred two million, four hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4051 4216 6324 8102 8432 12153 12648 16204 24306 25296 32408 48612 64816 68867 97224 125581 137734 194448 206601 251162 275468 376743 413202 502324 550936 753486 826404 1004648 1101872 1506972 1652808 2009296 2134877 3013944 3305616 4269754 6027888 6404631 8539508 12809262 17079016 25618524 34158032 51237048 102474096