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113491152 = 2433299059
BaseRepresentation
bin1101100001110…
…11110011010000
321220112221121000
412300323303100
5213023204102
615132302000
72545441665
oct660736320
9256487530
10113491152
1159076645
1232011900
131a688438
1411103a6c
159e6c01c
hex6c3bcd0

113491152 has 80 divisors (see below), whose sum is σ = 337032000. Its totient is φ = 36521856.

The previous prime is 113491121. The next prime is 113491159. The reversal of 113491152 is 251194311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113491159) 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, 7999 + ... + 17057.

It is an arithmetic number, because the mean of its divisors is an integer number (4212900).

Almost surely, 2113491152 is an apocalyptic number.

113491152 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 113491152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168516000).

113491152 is an abundant number, since it is smaller than the sum of its proper divisors (223540848).

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

113491152 is a wasteful number, since it uses less digits than its factorization.

113491152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9093 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 113491152 is about 10653.2226110225. Note that the first 3 decimals coincide. The cubic root of 113491152 is about 484.1582480056.

The spelling of 113491152 in words is "one hundred thirteen million, four hundred ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 9059 12528 18118 27177 36236 54354 72472 81531 108708 144944 163062 217416 244593 262711 326124 434832 489186 525422 652248 788133 978372 1050844 1304496 1576266 1956744 2101688 2364399 3152532 3913488 4203376 4728798 6305064 7093197 9457596 12610128 14186394 18915192 28372788 37830384 56745576 113491152