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113508432 = 24331913829
BaseRepresentation
bin1101100010000…
…00000001010000
321220120211022000
412301000001100
5213024232212
615132514000
72545543242
oct661000120
9256524260
10113508432
1159088624
123201b900
131a69326b
141110a092
159e721dc
hex6c40050

113508432 has 80 divisors (see below), whose sum is σ = 342984000. Its totient is φ = 35842176.

The previous prime is 113508403. The next prime is 113508449. The reversal of 113508432 is 234805311.

It is a happy number.

113508432 is a `hidden beast` number, since 113 + 508 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113508396 and 113508405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 15122.

It is an arithmetic number, because the mean of its divisors is an integer number (4287300).

Almost surely, 2113508432 is an apocalyptic number.

113508432 is a gapful number since it is divisible by the number (12) 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 113508432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171492000).

113508432 is an abundant number, since it is smaller than the sum of its proper divisors (229475568).

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

113508432 is a wasteful number, since it uses less digits than its factorization.

113508432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 113508432 is about 10654.0336023499. The cubic root of 113508432 is about 484.1828191721.

The spelling of 113508432 in words is "one hundred thirteen million, five hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 13829 27658 41487 55316 82974 110632 124461 165948 221264 248922 262751 331896 373383 497844 525502 663792 746766 788253 995688 1051004 1493532 1576506 1991376 2102008 2364759 2987064 3153012 4204016 4729518 5974128 6306024 7094277 9459036 12612048 14188554 18918072 28377108 37836144 56754216 113508432