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113070080 = 21255521
BaseRepresentation
bin1101011110101…
…01000000000000
321212202112222202
412233111000000
5212421220310
615115252332
72542036244
oct657250000
9255675882
10113070080
1158909252
1231a4a0a8
131a56b896
1411034424
159dd73a5
hex6bd5000

113070080 has 52 divisors (see below), whose sum is σ = 271384212. Its totient is φ = 45219840.

The previous prime is 113070079. The next prime is 113070107. The reversal of 113070080 is 80070311.

It can be written as a sum of positive squares in 2 ways, for example, as 36192256 + 76877824 = 6016^2 + 8768^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17720 + ... + 23240.

Almost surely, 2113070080 is an apocalyptic number.

113070080 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 113070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135692106).

113070080 is an abundant number, since it is smaller than the sum of its proper divisors (158314132).

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

113070080 is an frugal number, since it uses more digits than its factorization.

113070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 113070080 is about 10633.4415877457. The cubic root of 113070080 is about 483.5587354014.

The spelling of 113070080 in words is "one hundred thirteen million, seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 5521 10240 11042 20480 22084 27605 44168 55210 88336 110420 176672 220840 353344 441680 706688 883360 1413376 1766720 2826752 3533440 5653504 7066880 11307008 14133760 22614016 28267520 56535040 113070080