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115363072 = 281171577
BaseRepresentation
bin1101110000001…
…00110100000000
322001002001101101
412320010310000
5214013104242
615240344144
72600366326
oct670046400
9261061341
10115363072
115a134a90
1232775054
131ab92496
141146dd16
15a1db9b7
hex6e04d00

115363072 has 72 divisors (see below), whose sum is σ = 255189312. Its totient is φ = 51609600.

The previous prime is 115363063. The next prime is 115363091. The reversal of 115363072 is 270363511.

It is a self number, because there is not a number n which added to its sum of digits gives 115363072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199648 + ... + 200224.

It is an arithmetic number, because the mean of its divisors is an integer number (3544296).

Almost surely, 2115363072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127594656).

115363072 is an abundant number, since it is smaller than the sum of its proper divisors (139826240).

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

115363072 is an equidigital number, since it uses as much as digits as its factorization.

115363072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 115363072 is about 10740.7202737991. The cubic root of 115363072 is about 486.8056432596.

The spelling of 115363072 in words is "one hundred fifteen million, three hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 568 577 704 781 1136 1154 1408 1562 2272 2308 2816 3124 4544 4616 6248 6347 9088 9232 12496 12694 18176 18464 24992 25388 36928 40967 49984 50776 73856 81934 99968 101552 147712 163868 199936 203104 327736 406208 450637 655472 812416 901274 1310944 1624832 1802548 2621888 3605096 5243776 7210192 10487552 14420384 28840768 57681536 115363072