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102863096 = 2374171631
BaseRepresentation
bin1100010000110…
…01000011111000
321011112222122022
412020121003320
5202313104341
614112414012
72356215260
oct610310370
9234488568
10102863096
1153077626
122a547308
1318406a4b
14d9387a0
15906ce4b
hex62190f8

102863096 has 64 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 42336000.

The previous prime is 102863083. The next prime is 102863099. The reversal of 102863096 is 690368201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102863099) by changing a digit.

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, 162701 + ... + 163331.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 2102863096 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 102863096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

102863096 is an abundant number, since it is smaller than the sum of its proper divisors (126477064).

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

102863096 is a wasteful number, since it uses less digits than its factorization.

102863096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 102863096 is about 10142.1445463965. The cubic root of 102863096 is about 468.5470385098.

The spelling of 102863096 in words is "one hundred two million, eight hundred sixty-three thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 41 56 71 82 142 164 284 287 328 497 568 574 631 994 1148 1262 1988 2296 2524 2911 3976 4417 5048 5822 8834 11644 17668 20377 23288 25871 35336 40754 44801 51742 81508 89602 103484 163016 179204 181097 206968 313607 358408 362194 627214 724388 1254428 1448776 1836841 2508856 3673682 7347364 12857887 14694728 25715774 51431548 102863096