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113060448 = 253453823
BaseRepresentation
bin1101011110100…
…10101001100000
321212202001210000
412233102221200
5212420413243
615115140000
72541666204
oct657225140
9255661700
10113060448
1158901a96
1231a44600
131a567397
1411030b04
159dd45d3
hex6bd2a60

113060448 has 120 divisors (see below), whose sum is σ = 339193008. Its totient is φ = 36930816.

The previous prime is 113060443. The next prime is 113060449. The reversal of 113060448 is 844060311.

113060448 is a `hidden beast` number, since 1 + 13 + 0 + 604 + 48 = 666.

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 (113060443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136965 + ... + 137787.

Almost surely, 2113060448 is an apocalyptic number.

113060448 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 113060448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169596504).

113060448 is an abundant number, since it is smaller than the sum of its proper divisors (226132560).

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

113060448 is an equidigital number, since it uses as much as digits as its factorization.

113060448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 113060448 is about 10632.9886673503. The cubic root of 113060448 is about 483.5450041826.

The spelling of 113060448 in words is "one hundred thirteen million, sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 823 848 864 954 1272 1296 1431 1646 1696 1908 2469 2544 2592 2862 3292 3816 4293 4938 5088 5724 6584 7407 7632 8586 9876 11448 13168 14814 15264 17172 19752 22221 22896 26336 29628 34344 39504 43619 44442 45792 59256 66663 68688 79008 87238 88884 118512 130857 133326 137376 174476 177768 237024 261714 266652 348952 355536 392571 523428 533304 697904 711072 785142 1046856 1066608 1177713 1395808 1570284 2093712 2133216 2355426 3140568 3533139 4187424 4710852 6281136 7066278 9421704 12562272 14132556 18843408 28265112 37686816 56530224 113060448