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102969792 = 26362207
BaseRepresentation
bin1100010001100…
…11000111000000
321011202102000000
412020303013000
5202330013132
614115000000
72360141322
oct610630700
9234672000
10102969792
115313a802
122a599000
1318443493
14d965612
15908e87c
hex62331c0

102969792 has 98 divisors (see below), whose sum is σ = 306494688. Its totient is φ = 34307712.

The previous prime is 102969791. The next prime is 102969829. The reversal of 102969792 is 297969201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102969791) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45553 + ... + 47759.

Almost surely, 2102969792 is an apocalyptic number.

102969792 is a gapful number since it is divisible by the number (12) 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 102969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153247344).

102969792 is an abundant number, since it is smaller than the sum of its proper divisors (203524896).

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

102969792 is an frugal number, since it uses more digits than its factorization.

102969792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 102969792 is about 10147.4032146160. The cubic root of 102969792 is about 468.7089845713.

The spelling of 102969792 in words is "one hundred two million, nine hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2207 2592 2916 3888 4414 5184 5832 6621 7776 8828 11664 13242 15552 17656 19863 23328 26484 35312 39726 46656 52968 59589 70624 79452 105936 119178 141248 158904 178767 211872 238356 317808 357534 423744 476712 536301 635616 715068 953424 1072602 1271232 1430136 1608903 1906848 2145204 2860272 3217806 3813696 4290408 5720544 6435612 8580816 11441088 12871224 17161632 25742448 34323264 51484896 102969792