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104698656 = 2534311303
BaseRepresentation
bin1100011110110…
…01001100100000
321022000020120000
412033121030200
5203300324111
614220020000
72410631616
oct617311440
9238006500
10104698656
1154110717
122b091600
13188ca38a
14dc956b6
1592d1c56
hex63d9320

104698656 has 120 divisors (see below), whose sum is σ = 318092544. Its totient is φ = 33747840.

The previous prime is 104698651. The next prime is 104698663. The reversal of 104698656 is 656896401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104698651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79701 + ... + 81003.

Almost surely, 2104698656 is an apocalyptic number.

104698656 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 104698656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159046272).

104698656 is an abundant number, since it is smaller than the sum of its proper divisors (213393888).

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

104698656 is a wasteful number, since it uses less digits than its factorization.

104698656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 104698656 is about 10232.2361192459. The cubic root of 104698656 is about 471.3176485192.

The spelling of 104698656 in words is "one hundred four million, six hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1303 1488 1674 2232 2511 2592 2606 2976 3348 3909 4464 5022 5212 6696 7818 8928 10044 10424 11727 13392 15636 20088 20848 23454 26784 31272 35181 40176 40393 41696 46908 62544 70362 80352 80786 93816 105543 121179 125088 140724 161572 187632 211086 242358 281448 323144 363537 375264 422172 484716 562896 646288 727074 844344 969432 1090611 1125792 1292576 1454148 1688688 1938864 2181222 2908296 3271833 3377376 3877728 4362444 5816592 6543666 8724888 11633184 13087332 17449776 26174664 34899552 52349328 104698656