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113520440 = 235111937367
BaseRepresentation
bin1101100010000…
…10111100111000
321220121102202202
412301002330320
5213030123230
615133045332
72545623245
oct661027470
9256542682
10113520440
1159096650
1232026848
131a698877
14111105cc
159e75a45
hex6c42f38

113520440 has 128 divisors (see below), whose sum is σ = 302054400. Its totient is φ = 37946880.

The previous prime is 113520437. The next prime is 113520457. The reversal of 113520440 is 44025311.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309137 + ... + 309503.

It is an arithmetic number, because the mean of its divisors is an integer number (2359800).

Almost surely, 2113520440 is an apocalyptic number.

113520440 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 113520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151027200).

113520440 is an abundant number, since it is smaller than the sum of its proper divisors (188533960).

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

113520440 is a wasteful number, since it uses less digits than its factorization.

113520440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 113520440 is about 10654.5971298778. The cubic root of 113520440 is about 484.1998923891.

Adding to 113520440 its reverse (44025311), we get a palindrome (157545751).

The spelling of 113520440 in words is "one hundred thirteen million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 37 38 40 44 55 74 76 88 95 110 148 152 185 190 209 220 296 367 370 380 407 418 440 703 734 740 760 814 836 1045 1406 1468 1480 1628 1672 1835 2035 2090 2812 2936 3256 3515 3670 4037 4070 4180 5624 6973 7030 7340 7733 8074 8140 8360 13579 13946 14060 14680 15466 16148 16280 20185 27158 27892 28120 30932 32296 34865 38665 40370 54316 55784 61864 67895 69730 76703 77330 80740 108632 135790 139460 149369 153406 154660 161480 258001 271580 278920 298738 306812 309320 383515 516002 543160 597476 613624 746845 767030 1032004 1194952 1290005 1493690 1534060 2064008 2580010 2838011 2987380 3068120 5160020 5676022 5974760 10320040 11352044 14190055 22704088 28380110 56760220 113520440