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113271696 = 2434711231
BaseRepresentation
bin1101100000001…
…10001110010000
321220010210120000
412300012032100
5212444143241
615123450000
72543536116
oct660061620
9256123500
10113271696
1158a3677a
1231b26900
131a60c595
1411087ab6
159e26eb6
hex6c06390

113271696 has 100 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 37195200.

The previous prime is 113271661. The next prime is 113271713. The reversal of 113271696 is 696172311.

It is a super-2 number, since 2×1132716962 = 25660954229432832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113271696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91401 + ... + 92631.

Almost surely, 2113271696 is an apocalyptic number.

113271696 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 113271696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

113271696 is an abundant number, since it is smaller than the sum of its proper divisors (219457008).

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

113271696 is a wasteful number, since it uses less digits than its factorization.

113271696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 113271696 is about 10642.9176450821. The cubic root of 113271696 is about 483.8459769906.

The spelling of 113271696 in words is "one hundred thirteen million, two hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1231 1278 1296 1704 1917 2462 2556 3408 3693 3834 4924 5112 5751 7386 7668 9848 10224 11079 11502 14772 15336 19696 22158 23004 29544 30672 33237 44316 46008 59088 66474 87401 88632 92016 99711 132948 174802 177264 199422 262203 265896 349604 398844 524406 531792 699208 786609 797688 1048812 1398416 1573218 1595376 2097624 2359827 3146436 4195248 4719654 6292872 7079481 9439308 12585744 14158962 18878616 28317924 37757232 56635848 113271696