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104646864 = 2437437243
BaseRepresentation
bin1100011110011…
…00100011010000
321021220121111210
412033030203100
5203242144424
614214540120
72410324620
oct617144320
9237817453
10104646864
1154085813
122b067640
13188ac92a
14dc80880
1592c1729
hex63cc8d0

104646864 has 80 divisors (see below), whose sum is σ = 316186112. Its totient is φ = 29199744.

The previous prime is 104646859. The next prime is 104646869. The reversal of 104646864 is 468646401.

It is an interprime number because it is at equal distance from previous prime (104646859) and next prime (104646869).

It is a super-2 number, since 2×1046468642 = 21901932290068992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104646869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10827 + ... + 18069.

Almost surely, 2104646864 is an apocalyptic number.

104646864 is a gapful number since it is divisible by the number (14) 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 104646864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158093056).

104646864 is an abundant number, since it is smaller than the sum of its proper divisors (211539248).

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

104646864 is a wasteful number, since it uses less digits than its factorization.

104646864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 104646864 is about 10229.7049810833. The cubic root of 104646864 is about 471.2399190596.

The spelling of 104646864 in words is "one hundred four million, six hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 7243 14448 14486 21729 28972 43458 50701 57944 86916 101402 115888 152103 173832 202804 304206 311449 347664 405608 608412 622898 811216 934347 1216824 1245796 1868694 2180143 2433648 2491592 3737388 4360286 4983184 6540429 7474776 8720572 13080858 14949552 17441144 26161716 34882288 52323432 104646864