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102339776 = 26711191093
BaseRepresentation
bin1100001100110…
…01010011000000
321010120101210002
412012121103000
5202144333101
614053255132
72351605460
oct606312300
9233511702
10102339776
115284a430
122a3344a8
13182827a6
14d83dba0
158eb7d6b
hex61994c0

102339776 has 112 divisors (see below), whose sum is σ = 266760960. Its totient is φ = 37739520.

The previous prime is 102339763. The next prime is 102339791. The reversal of 102339776 is 677933201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 93086 + ... + 94178.

Almost surely, 2102339776 is an apocalyptic number.

102339776 is a gapful number since it is divisible by the number (16) 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 102339776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380480).

102339776 is an abundant number, since it is smaller than the sum of its proper divisors (164421184).

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

102339776 is a wasteful number, since it uses less digits than its factorization.

102339776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 102339776 is about 10116.3123716105. The cubic root of 102339776 is about 467.7511034382.

The spelling of 102339776 in words is "one hundred two million, three hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 1064 1093 1216 1232 1463 1672 2128 2186 2464 2926 3344 4256 4372 4928 5852 6688 7651 8512 8744 11704 12023 13376 15302 17488 20767 23408 24046 30604 34976 41534 46816 48092 61208 69952 83068 84161 93632 96184 122416 145369 166136 168322 192368 228437 244832 290738 332272 336644 384736 456874 489664 581476 664544 673288 769472 913748 1162952 1329088 1346576 1599059 1827496 2325904 2693152 3198118 3654992 4651808 5386304 6396236 7309984 9303616 12792472 14619968 25584944 51169888 102339776