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113137632 = 2532834733
BaseRepresentation
bin1101011111001…
…01011111100000
321212212222122200
412233211133200
5212430401012
615120533200
72542440216
oct657453740
9255788580
10113137632
1158954a83
1231a81200
131a59355a
1411050cb6
159dec3dc
hex6be57e0

113137632 has 72 divisors (see below), whose sum is σ = 325680264. Its totient is φ = 37250304.

The previous prime is 113137597. The next prime is 113137639. The reversal of 113137632 is 236731311.

113137632 is a `hidden beast` number, since 1 + 13 + 13 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 113137596 and 113137605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113137639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21538 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (4523337).

Almost surely, 2113137632 is an apocalyptic number.

113137632 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 113137632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162840132).

113137632 is an abundant number, since it is smaller than the sum of its proper divisors (212542632).

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

113137632 is a wasteful number, since it uses less digits than its factorization.

113137632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4821 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 113137632 is about 10636.6175074598. The cubic root of 113137632 is about 483.6550145016.

Adding to 113137632 its reverse (236731311), we get a palindrome (349868943).

The spelling of 113137632 in words is "one hundred thirteen million, one hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 4733 5976 7968 9466 11952 14199 18932 23904 28398 37864 42597 56796 75728 85194 113592 151456 170388 227184 340776 392839 454368 681552 785678 1178517 1363104 1571356 2357034 3142712 3535551 4714068 6285424 7071102 9428136 12570848 14142204 18856272 28284408 37712544 56568816 113137632