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113434932 = 223132512897
BaseRepresentation
bin1101100001011…
…10000100110100
321220110002110210
412300232010310
5213014404212
615131145420
72545116042
oct660560464
9256402423
10113434932
1159038386
1231ba5270
131a668980
14110cb392
159e5a53c
hex6c2e134

113434932 has 48 divisors (see below), whose sum is σ = 286276032. Its totient is φ = 34752000.

The previous prime is 113434907. The next prime is 113434939. The reversal of 113434932 is 239434311.

It is a self number, because there is not a number n which added to its sum of digits gives 113434932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37708 + ... + 40604.

It is an arithmetic number, because the mean of its divisors is an integer number (5964084).

Almost surely, 2113434932 is an apocalyptic number.

113434932 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 113434932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143138016).

113434932 is an abundant number, since it is smaller than the sum of its proper divisors (172841100).

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

113434932 is a wasteful number, since it uses less digits than its factorization.

113434932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3166 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 113434932 is about 10650.5836459792. The cubic root of 113434932 is about 484.0782891366.

The spelling of 113434932 in words is "one hundred thirteen million, four hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 2897 3012 3263 5794 6526 8691 9789 11588 13052 17382 19578 34764 37661 39156 75322 112983 150644 225966 451932 727147 1454294 2181441 2908588 4362882 8725764 9452911 18905822 28358733 37811644 56717466 113434932