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102262056 = 233133197109
BaseRepresentation
bin1100001100001…
…10010100101000
321010102110011120
412012012110220
5202134341211
614051455240
72351133051
oct606062450
9233373146
10102262056
11527a6aa6
122a2b7520
13182562c0
14d81d728
158e9ed06
hex6186528

102262056 has 128 divisors (see below), whose sum is σ = 289766400. Its totient is φ = 29859840.

The previous prime is 102262049. The next prime is 102262063. The reversal of 102262056 is 650262201.

It is an interprime number because it is at equal distance from previous prime (102262049) and next prime (102262063).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938130 + ... + 938238.

It is an arithmetic number, because the mean of its divisors is an integer number (2263800).

Almost surely, 2102262056 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 102262056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144883200).

102262056 is an abundant number, since it is smaller than the sum of its proper divisors (187504344).

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

102262056 is a wasteful number, since it uses less digits than its factorization.

102262056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102262056 is about 10112.4703213409. The cubic root of 102262056 is about 467.6326652194.

The spelling of 102262056 in words is "one hundred two million, two hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 97 104 109 124 156 186 194 218 248 291 312 327 372 388 403 436 582 654 744 776 806 872 1164 1209 1261 1308 1417 1612 2328 2418 2522 2616 2834 3007 3224 3379 3783 4251 4836 5044 5668 6014 6758 7566 8502 9021 9672 10088 10137 10573 11336 12028 13516 15132 17004 18042 20274 21146 24056 27032 30264 31719 34008 36084 39091 40548 42292 43927 63438 72168 78182 81096 84584 87854 117273 126876 131781 137449 156364 175708 234546 253752 263562 274898 312728 327763 351416 412347 469092 527124 549796 655526 824694 938184 983289 1054248 1099592 1311052 1649388 1966578 2622104 3298776 3933156 4260919 7866312 8521838 12782757 17043676 25565514 34087352 51131028 102262056