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113401272 = 23319431577
BaseRepresentation
bin1101100001001…
…01110110111000
321220101101022010
412300211312320
5213012320042
615130325520
72544615645
oct660456670
9256341263
10113401272
1159015066
1231b898a0
131a65655a
14110bcdcc
159e5059c
hex6c25db8

113401272 has 64 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 35665920.

The previous prime is 113401259. The next prime is 113401273. The reversal of 113401272 is 272104311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113401273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196248 + ... + 196824.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2113401272 is an apocalyptic number.

113401272 is a gapful number since it is divisible by the number (12) 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 113401272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

113401272 is an abundant number, since it is smaller than the sum of its proper divisors (186233928).

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

113401272 is a wasteful number, since it uses less digits than its factorization.

113401272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 113401272 is about 10649.0033336458. The cubic root of 113401272 is about 484.0304035724.

Adding to 113401272 its reverse (272104311), we get a palindrome (385505583).

The spelling of 113401272 in words is "one hundred thirteen million, four hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 431 456 577 862 1154 1293 1724 1731 2308 2586 3448 3462 4616 5172 6924 8189 10344 10963 13848 16378 21926 24567 32756 32889 43852 49134 65512 65778 87704 98268 131556 196536 248687 263112 497374 746061 994748 1492122 1989496 2984244 4725053 5968488 9450106 14175159 18900212 28350318 37800424 56700636 113401272