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102145656 = 23317298997
BaseRepresentation
bin1100001011010…
…01111001111000
321010012112111110
412011221321320
5202122130111
614045200320
72350136514
oct605517170
9233175443
10102145656
11527275a8
122a2600a0
1318215322
14d7cd144
158e7a5a6
hex6169e78

102145656 has 128 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 30277632.

The previous prime is 102145633. The next prime is 102145661. The reversal of 102145656 is 656541201.

It is a congruent number.

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, 1053000 + ... + 1053096.

Almost surely, 2102145656 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 102145656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884000).

102145656 is an abundant number, since it is smaller than the sum of its proper divisors (183622344).

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

102145656 is a wasteful number, since it uses less digits than its factorization.

102145656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 102145656 is about 10106.7134123809. The cubic root of 102145656 is about 467.4551699031.

Adding to 102145656 its reverse (656541201), we get a palindrome (758686857).

The spelling of 102145656 in words is "one hundred two million, one hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 89 97 102 116 136 174 178 194 204 232 267 291 348 356 388 408 493 534 582 696 712 776 986 1068 1164 1479 1513 1649 1972 2136 2328 2581 2813 2958 3026 3298 3944 4539 4947 5162 5626 5916 6052 6596 7743 8439 8633 9078 9894 10324 11252 11832 12104 13192 15486 16878 17266 18156 19788 20648 22504 25899 30972 33756 34532 36312 39576 43877 47821 51798 61944 67512 69064 87754 95642 103596 131631 143463 146761 175508 191284 207192 250357 263262 286926 293522 351016 382568 440283 500714 526524 573852 587044 751071 880566 1001428 1053048 1147704 1174088 1502142 1761132 2002856 3004284 3522264 4256069 6008568 8512138 12768207 17024276 25536414 34048552 51072828 102145656