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104979712 = 2819113191
BaseRepresentation
bin1100100000111…
…01110100000000
321022112112002111
412100131310000
5203333322322
614230025104
72413212205
oct620356400
9238475074
10104979712
11542928a2
122b1a8194
1318998296
14dd29cac
15933a177
hex641dd00

104979712 has 72 divisors (see below), whose sum is σ = 223695360. Its totient is φ = 49029120.

The previous prime is 104979691. The next prime is 104979713. The reversal of 104979712 is 217979401.

It is a super-2 number, since 2×1049797122 = 22041479863205888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104979713) 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, 549537 + ... + 549727.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2104979712 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 104979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680).

104979712 is an abundant number, since it is smaller than the sum of its proper divisors (118715648).

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

104979712 is a wasteful number, since it uses less digits than its factorization.

104979712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 104979712 is about 10245.9607651015. The cubic root of 104979712 is about 471.7390111299.

The spelling of 104979712 in words is "one hundred four million, nine hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 191 226 256 304 382 452 608 764 904 1216 1528 1808 2147 2432 3056 3616 3629 4294 4864 6112 7232 7258 8588 12224 14464 14516 17176 21583 24448 28928 29032 34352 43166 48896 58064 68704 86332 116128 137408 172664 232256 274816 345328 410077 464512 549632 690656 820154 929024 1381312 1640308 2762624 3280616 5525248 6561232 13122464 26244928 52489856 104979712