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113405040 = 24325722501
BaseRepresentation
bin1101100001001…
…10110001110000
321220101120110200
412300212301300
5213012430130
615130355200
72544632640
oct660466160
9256346420
10113405040
1159017981
1231b8bb00
131a658198
14110c0520
159e51760
hex6c26c70

113405040 has 120 divisors (see below), whose sum is σ = 435278688. Its totient is φ = 25920000.

The previous prime is 113405029. The next prime is 113405041. The reversal of 113405040 is 40504311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113405041) 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, 6211 + ... + 16290.

Almost surely, 2113405040 is an apocalyptic number.

113405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113405040 is an abundant number, since it is smaller than the sum of its proper divisors (321873648).

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

113405040 is a wasteful number, since it uses less digits than its factorization.

113405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22527 (or 22518 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 113405040 is about 10649.1802501413. The cubic root of 113405040 is about 484.0357644951.

Adding to 113405040 its reverse (40504311), we get a palindrome (153909351).

It can be divided in two parts, 11340 and 5040, that multiplied together give a square (57153600 = 75602).

The spelling of 113405040 in words is "one hundred thirteen million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 22501 45002 67503 90004 112505 135006 157507 180008 202509 225010 270012 315014 337515 360016 405018 450020 472521 540024 630028 675030 787535 810036 900040 945042 1012545 1080048 1260056 1350060 1417563 1575070 1620072 1800080 1890084 2025090 2362605 2520112 2700120 2835126 3150140 3240144 3780168 4050180 4725210 5400240 5670252 6300280 7087815 7560336 8100360 9450420 11340504 12600560 14175630 16200720 18900840 22681008 28351260 37801680 56702520 113405040