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115453152 = 25323111289
BaseRepresentation
bin1101110000110…
…10110011100000
322001020121221200
412320122303200
5214024000102
615242321200
72601223053
oct670326340
9261217850
10115453152
115a196731
12327b9200
131abc4499
1411494a9a
15a20851c
hex6e1ace0

115453152 has 72 divisors (see below), whose sum is σ = 329631120. Its totient is φ = 38330880.

The previous prime is 115453109. The next prime is 115453153. The reversal of 115453152 is 251354511.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115453153) 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 11 ways as a sum of consecutive naturals, for example, 88924 + ... + 90212.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2115453152 is an apocalyptic number.

115453152 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 115453152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164815560).

115453152 is an abundant number, since it is smaller than the sum of its proper divisors (214177968).

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

115453152 is a wasteful number, since it uses less digits than its factorization.

115453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 115453152 is about 10744.9128428294. The cubic root of 115453152 is about 486.9323159256.

The spelling of 115453152 in words is "one hundred fifteen million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 622 933 1244 1289 1866 2488 2578 2799 3732 3867 4976 5156 5598 7464 7734 9952 10312 11196 11601 14928 15468 20624 22392 23202 29856 30936 41248 44784 46404 61872 89568 92808 123744 185616 371232 400879 801758 1202637 1603516 2405274 3207032 3607911 4810548 6414064 7215822 9621096 12828128 14431644 19242192 28863288 38484384 57726576 115453152