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113599616 = 2713233293
BaseRepresentation
bin1101100010101…
…10010010000000
321220202110101012
412301112102000
5213040141431
615134500052
72546403134
oct661262200
9256673335
10113599616
1159140089
1232064628
131a6c5910
14111313c4
159e8e22b
hex6c56480

113599616 has 64 divisors (see below), whose sum is σ = 245601720. Its totient is φ = 52027392.

The previous prime is 113599609. The next prime is 113599631. The reversal of 113599616 is 616995311.

It can be written as a sum of positive squares in 4 ways, for example, as 90174016 + 23425600 = 9496^2 + 4840^2 .

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

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, 387566 + ... + 387858.

Almost surely, 2113599616 is an apocalyptic number.

113599616 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 113599616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122800860).

113599616 is an abundant number, since it is smaller than the sum of its proper divisors (132002104).

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

113599616 is a wasteful number, since it uses less digits than its factorization.

113599616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its digits is 43740, while the sum is 41.

The square root of 113599616 is about 10658.3120614852. The cubic root of 113599616 is about 484.3124362954.

The spelling of 113599616 in words is "one hundred thirteen million, five hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 233 293 416 466 586 832 932 1172 1664 1864 2344 3029 3728 3809 4688 6058 7456 7618 9376 12116 14912 15236 18752 24232 29824 30472 37504 48464 60944 68269 96928 121888 136538 193856 243776 273076 387712 487552 546152 887497 1092304 1774994 2184608 3549988 4369216 7099976 8738432 14199952 28399904 56799808 113599616