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113415480 = 233253111013
BaseRepresentation
bin1101100001010…
…01010100111000
321220102002210100
412300221110320
5213013243410
615130515400
72545005243
oct660512470
9256362710
10113415480
1159024802
1231b95b60
131a65cb69
14110c425a
159e548c0
hex6c29538

113415480 has 96 divisors (see below), whose sum is σ = 370150560. Its totient is φ = 30117120.

The previous prime is 113415479. The next prime is 113415487. The reversal of 113415480 is 84514311.

It is a happy number.

113415480 is a `hidden beast` number, since 113 + 4 + 1 + 548 + 0 = 666.

It is a super-2 number, since 2×1134154802 = 25726142207260800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113415487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111454 + ... + 112466.

It is an arithmetic number, because the mean of its divisors is an integer number (3855735).

Almost surely, 2113415480 is an apocalyptic number.

113415480 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 113415480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185075280).

113415480 is an abundant number, since it is smaller than the sum of its proper divisors (256735080).

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

113415480 is a wasteful number, since it uses less digits than its factorization.

113415480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 113415480 is about 10649.6704174355. The cubic root of 113415480 is about 484.0506173868.

Adding to 113415480 its reverse (84514311), we get a palindrome (197929791).

The spelling of 113415480 in words is "one hundred thirteen million, four hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 311 360 622 933 1013 1244 1555 1866 2026 2488 2799 3039 3110 3732 4052 4665 5065 5598 6078 6220 7464 8104 9117 9330 10130 11196 12156 12440 13995 15195 18234 18660 20260 22392 24312 27990 30390 36468 37320 40520 45585 55980 60780 72936 91170 111960 121560 182340 315043 364680 630086 945129 1260172 1575215 1890258 2520344 2835387 3150430 3780516 4725645 5670774 6300860 7561032 9451290 11341548 12601720 14176935 18902580 22683096 28353870 37805160 56707740 113415480