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104630656 = 2713227277
BaseRepresentation
bin1100011110010…
…00100110000000
321021212210021111
412033020212000
5203241140111
614214333104
72410226434
oct617104600
9237783244
10104630656
1154074619
122b05a194
13188a5440
14dc789c4
1592bba21
hex63c8980

104630656 has 64 divisors (see below), whose sum is σ = 226280880. Its totient is φ = 47904768.

The previous prime is 104630633. The next prime is 104630683. The reversal of 104630656 is 656036401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377590 + ... + 377866.

Almost surely, 2104630656 is an apocalyptic number.

104630656 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 104630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113140440).

104630656 is an abundant number, since it is smaller than the sum of its proper divisors (121650224).

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

104630656 is a wasteful number, since it uses less digits than its factorization.

104630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 104630656 is about 10228.9127476971. The cubic root of 104630656 is about 471.2155888163.

The spelling of 104630656 in words is "one hundred four million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 227 277 416 454 554 832 908 1108 1664 1816 2216 2951 3601 3632 4432 5902 7202 7264 8864 11804 14404 14528 17728 23608 28808 29056 35456 47216 57616 62879 94432 115232 125758 188864 230464 251516 377728 460928 503032 817427 1006064 1634854 2012128 3269708 4024256 6539416 8048512 13078832 26157664 52315328 104630656