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113658048 = 2632724027
BaseRepresentation
bin1101100011001…
…00100011000000
321220212102112100
412301210203000
5213044024143
615140030400
72550035400
oct661444300
9256772470
10113658048
115917aa79
1232092400
131a7163aa
1411148800
159ea16d3
hex6c648c0

113658048 has 126 divisors (see below), whose sum is σ = 379062996. Its totient is φ = 32465664.

The previous prime is 113658031. The next prime is 113658049. The reversal of 113658048 is 840856311.

113658048 is a `hidden beast` number, since 1 + 1 + 36 + 580 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113658049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26211 + ... + 30237.

Almost surely, 2113658048 is an apocalyptic number.

113658048 is a gapful number since it is divisible by the number (18) 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 113658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189531498).

113658048 is an abundant number, since it is smaller than the sum of its proper divisors (265404948).

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

113658048 is a wasteful number, since it uses less digits than its factorization.

113658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 113658048 is about 10661.0528560738. The cubic root of 113658048 is about 484.3954603248.

The spelling of 113658048 in words is "one hundred thirteen million, six hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4027 4032 4704 7056 8054 9408 12081 14112 16108 24162 28189 28224 32216 36243 48324 56378 64432 72486 84567 96648 112756 128864 144972 169134 193296 197323 225512 253701 257728 289944 338268 386592 394646 451024 507402 579888 591969 676536 773184 789292 902048 1014804 1159776 1183938 1353072 1578584 1775907 1804096 2029608 2319552 2367876 2706144 3157168 3551814 4059216 4735752 5412288 6314336 7103628 8118432 9471504 12628672 14207256 16236864 18943008 28414512 37886016 56829024 113658048