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113246592 = 273417193
BaseRepresentation
bin1101100000000…
…00000110000000
321220002112010020
412300000012000
5212442342332
615123133440
72543402664
oct660000600
9256075106
10113246592
1158a19928
1231b14280
131a601024
141107c8a4
159e1e82c
hex6c00180

113246592 has 64 divisors (see below), whose sum is σ = 308190960. Its totient is φ = 36823040.

The previous prime is 113246591. The next prime is 113246597. The reversal of 113246592 is 295642311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1132465922 = 25649581199228928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113246591) 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, 12148 + ... + 19340.

Almost surely, 2113246592 is an apocalyptic number.

113246592 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 113246592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154095480).

113246592 is an abundant number, since it is smaller than the sum of its proper divisors (194944368).

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

113246592 is an equidigital number, since it uses as much as digits as its factorization.

113246592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7239 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 113246592 is about 10641.7382038838. The cubic root of 113246592 is about 483.8102299997.

The spelling of 113246592 in words is "one hundred thirteen million, two hundred forty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7193 7872 14386 15744 21579 28772 43158 57544 86316 115088 172632 230176 294913 345264 460352 589826 690528 884739 920704 1179652 1381056 1769478 2359304 2762112 3538956 4718608 7077912 9437216 14155824 18874432 28311648 37748864 56623296 113246592