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102517404 = 223117310639
BaseRepresentation
bin1100001110001…
…00101010011100
321010220102102220
412013010222130
5202221024104
614101145340
72353245363
oct607045234
9233812386
10102517404
1152960930
122a3bb250
13183155b2
14d8887da
1590007d9
hex61c4a9c

102517404 has 48 divisors (see below), whose sum is σ = 264552960. Its totient is φ = 30637440.

The previous prime is 102517399. The next prime is 102517447. The reversal of 102517404 is 404715201.

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, 4317 + ... + 14955.

It is an arithmetic number, because the mean of its divisors is an integer number (5511520).

Almost surely, 2102517404 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 102517404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132276480).

102517404 is an abundant number, since it is smaller than the sum of its proper divisors (162035556).

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

102517404 is a wasteful number, since it uses less digits than its factorization.

102517404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 102517404 is about 10125.0878514707. The cubic root of 102517404 is about 468.0215674187.

The spelling of 102517404 in words is "one hundred two million, five hundred seventeen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 10639 21278 31917 42556 63834 117029 127668 234058 351087 468116 702174 776647 1404348 1553294 2329941 3106588 4659882 8543117 9319764 17086234 25629351 34172468 51258702 102517404