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113630440 = 23571179467
BaseRepresentation
bin1101100010111…
…01110011101000
321220211000122211
412301131303220
5213042133230
615135254504
72546562040
oct661356350
9256730584
10113630440
1159161260
123207a434
131a706961
141113c720
159e9842a
hex6c5dce8

113630440 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 34894080.

The previous prime is 113630423. The next prime is 113630471. The reversal of 113630440 is 44036311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243087 + ... + 243553.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2113630440 is an apocalyptic number.

113630440 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 113630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

113630440 is an abundant number, since it is smaller than the sum of its proper divisors (209851160).

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

113630440 is a wasteful number, since it uses less digits than its factorization.

113630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 113630440 is about 10659.7579709860. The cubic root of 113630440 is about 484.3562366093.

Adding to 113630440 its reverse (44036311), we get a palindrome (157666751).

The spelling of 113630440 in words is "one hundred thirteen million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 220 280 308 316 385 395 440 467 553 616 632 770 790 869 934 1106 1540 1580 1738 1868 2212 2335 2765 3080 3160 3269 3476 3736 4345 4424 4670 5137 5530 6083 6538 6952 8690 9340 10274 11060 12166 13076 16345 17380 18680 20548 22120 24332 25685 26152 30415 32690 34760 35959 36893 41096 48664 51370 60830 65380 71918 73786 102740 121660 130760 143836 147572 179795 184465 205480 243320 258251 287672 295144 359590 368930 405823 516502 719180 737860 811646 1033004 1291255 1438360 1475720 1623292 2029115 2066008 2582510 2840761 3246584 4058230 5165020 5681522 8116460 10330040 11363044 14203805 16232920 22726088 28407610 56815220 113630440