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113432040 = 23325487647
BaseRepresentation
bin1101100001011…
…01010111101000
321220102221111200
412300231113220
5213014311130
615131124200
72545104441
oct660552750
9256387450
10113432040
1159036197
1231ba3660
131a667567
14110ca2c8
159e59760
hex6c2d5e8

113432040 has 96 divisors (see below), whose sum is σ = 369982080. Its totient is φ = 30139776.

The previous prime is 113432017. The next prime is 113432063. The reversal of 113432040 is 40234311.

It is an interprime number because it is at equal distance from previous prime (113432017) and next prime (113432063).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174997 + ... + 175643.

It is an arithmetic number, because the mean of its divisors is an integer number (3853980).

Almost surely, 2113432040 is an apocalyptic number.

113432040 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 113432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184991040).

113432040 is an abundant number, since it is smaller than the sum of its proper divisors (256550040).

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

113432040 is a wasteful number, since it uses less digits than its factorization.

113432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113432040 is about 10650.4478779064. The cubic root of 113432040 is about 484.0741752765.

Adding to 113432040 its reverse (40234311), we get a palindrome (153666351).

The spelling of 113432040 in words is "one hundred thirteen million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 487 647 974 1294 1461 1941 1948 2435 2588 2922 3235 3882 3896 4383 4870 5176 5823 5844 6470 7305 7764 8766 9705 9740 11646 11688 12940 14610 15528 17532 19410 19480 21915 23292 25880 29115 29220 35064 38820 43830 46584 58230 58440 77640 87660 116460 175320 232920 315089 630178 945267 1260356 1575445 1890534 2520712 2835801 3150890 3781068 4726335 5671602 6301780 7562136 9452670 11343204 12603560 14179005 18905340 22686408 28358010 37810680 56716020 113432040