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113154048 = 211327877
BaseRepresentation
bin1101011111010…
…01100000000000
321212220211011200
412233221200000
5212431412143
615121141200
72542536120
oct657514000
9255824150
10113154048
1158966347
1231a8a800
131a59ab77
1411056c80
159e021d3
hex6be9800

113154048 has 144 divisors (see below), whose sum is σ = 373922640. Its totient is φ = 32292864.

The previous prime is 113154047. The next prime is 113154071. The reversal of 113154048 is 840451311.

It is a happy number.

113154048 is a `hidden beast` number, since 113 + 1 + 540 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113154047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128586 + ... + 129462.

It is an arithmetic number, because the mean of its divisors is an integer number (2596685).

Almost surely, 2113154048 is an apocalyptic number.

113154048 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 113154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186961320).

113154048 is an abundant number, since it is smaller than the sum of its proper divisors (260768592).

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

113154048 is an equidigital number, since it uses as much as digits as its factorization.

113154048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 113154048 is about 10637.3891533590. The cubic root of 113154048 is about 483.6784057659.

The spelling of 113154048 in words is "one hundred thirteen million, one hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 877 896 1008 1024 1152 1344 1536 1754 1792 2016 2048 2304 2631 2688 3072 3508 3584 4032 4608 5262 5376 6139 6144 7016 7168 7893 8064 9216 10524 10752 12278 14032 14336 15786 16128 18417 18432 21048 21504 24556 28064 31572 32256 36834 42096 43008 49112 55251 56128 63144 64512 73668 84192 98224 110502 112256 126288 129024 147336 168384 196448 221004 224512 252576 294672 336768 392896 442008 449024 505152 589344 673536 785792 884016 898048 1010304 1178688 1347072 1571584 1768032 1796096 2020608 2357376 2694144 3143168 3536064 4041216 4714752 5388288 6286336 7072128 8082432 9429504 12572672 14144256 16164864 18859008 28288512 37718016 56577024 113154048