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113513792 = 26735171
BaseRepresentation
bin1101100010000…
…01010101000000
321220121002122112
412301001111000
5213024420132
615132554452
72545565000
oct661012500
9256532575
10113513792
1159091657
1232022a28
131a695832
141110c000
159e73ab2
hex6c41540

113513792 has 56 divisors (see below), whose sum is σ = 262737600. Its totient is φ = 48639360.

The previous prime is 113513791. The next prime is 113513821. The reversal of 113513792 is 297315311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113513791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19367 + ... + 24537.

Almost surely, 2113513792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131368800).

113513792 is an abundant number, since it is smaller than the sum of its proper divisors (149223808).

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

113513792 is an frugal number, since it uses more digits than its factorization.

113513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5180 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 113513792 is about 10654.2851473011. The cubic root of 113513792 is about 484.1904402771.

The spelling of 113513792 in words is "one hundred thirteen million, five hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5171 5488 10342 10976 20684 21952 36197 41368 72394 82736 144788 165472 253379 289576 330944 506758 579152 1013516 1158304 1773653 2027032 2316608 3547306 4054064 7094612 8108128 14189224 16216256 28378448 56756896 113513792