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104235976 = 2313171929107
BaseRepresentation
bin1100011011010…
…00001111001000
321021010201212201
412031220033020
5203141022401
614202045544
72403663655
oct615501710
9237121781
10104235976
1153925039
122aaa98b4
13187978c0
14dbb4c2c
15923eb01
hex63683c8

104235976 has 128 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 41029632.

The previous prime is 104235953. The next prime is 104235979. The reversal of 104235976 is 679532401.

It is not an unprimeable number, because it can be changed into a prime (104235979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974115 + ... + 974221.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 2104235976 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 104235976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

104235976 is an abundant number, since it is smaller than the sum of its proper divisors (140708024).

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

104235976 is a wasteful number, since it uses less digits than its factorization.

104235976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 104235976 is about 10209.6021469987. The cubic root of 104235976 is about 470.6223474316.

The spelling of 104235976 in words is "one hundred four million, two hundred thirty-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 17 19 26 29 34 38 52 58 68 76 104 107 116 136 152 214 221 232 247 323 377 428 442 493 494 551 646 754 856 884 986 988 1102 1292 1391 1508 1768 1819 1972 1976 2033 2204 2584 2782 3016 3103 3638 3944 4066 4199 4408 5564 6206 6409 7163 7276 8132 8398 9367 11128 12412 12818 14326 14552 16264 16796 18734 23647 24824 25636 26429 28652 33592 34561 37468 40339 47294 51272 52751 52858 57304 58957 69122 74936 80678 94588 105502 105716 117914 121771 138244 161356 189176 211004 211432 235828 243542 276488 322712 422008 449293 471656 487084 685763 766441 898586 974168 1002269 1371526 1532882 1797172 2004538 2743052 3065764 3594344 4009076 5486104 6131528 8018152 13029497 26058994 52117988 104235976