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104663680 = 2751114867
BaseRepresentation
bin1100011110100…
…00101010000000
321021221110120121
412033100222000
5203243214210
614215150024
72410424632
oct617205200
9237843517
10104663680
1154097410
122b075314
13188b7494
14dc86a52
1592c66da
hex63d0a80

104663680 has 64 divisors (see below), whose sum is σ = 272976480. Its totient is φ = 38056960.

The previous prime is 104663659. The next prime is 104663683. The reversal of 104663680 is 86366401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1046636802 = 21908971822284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104663683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 14473.

Almost surely, 2104663680 is an apocalyptic number.

104663680 is a gapful number since it is divisible by the number (10) 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 104663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136488240).

104663680 is an abundant number, since it is smaller than the sum of its proper divisors (168312800).

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

104663680 is a wasteful number, since it uses less digits than its factorization.

104663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 104663680 is about 10230.5268681530. The cubic root of 104663680 is about 471.2651593319.

The spelling of 104663680 in words is "one hundred four million, six hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 14867 29734 59468 74335 118936 148670 163537 237872 297340 327074 475744 594680 654148 817685 951488 1189360 1308296 1635370 1902976 2378720 2616592 3270740 4757440 5233184 6541480 9514880 10466368 13082960 20932736 26165920 52331840 104663680