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115270128 = 2434293067
BaseRepresentation
bin1101101111011…
…10000111110000
322000220022220000
412313232013300
5214002121003
615234350000
72566531341
oct667560760
9260808800
10115270128
115a081176
123272b300
131ab5c09c
14114480c8
15a1be1a3
hex6dee1f0

115270128 has 100 divisors (see below), whose sum is σ = 345242040. Its totient is φ = 37086336.

The previous prime is 115270123. The next prime is 115270159. The reversal of 115270128 is 821072511.

115270128 is a `hidden beast` number, since 11 + 527 + 0 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115270123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36051 + ... + 39117.

Almost surely, 2115270128 is an apocalyptic number.

115270128 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 115270128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172621020).

115270128 is an abundant number, since it is smaller than the sum of its proper divisors (229971912).

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

115270128 is a wasteful number, since it uses less digits than its factorization.

115270128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 115270128 is about 10736.3926902848. The cubic root of 115270128 is about 486.6748740302.

The spelling of 115270128 in words is "one hundred fifteen million, two hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3067 3132 4176 4698 6134 6264 9201 9396 12268 12528 18402 18792 24536 27603 36804 37584 49072 55206 73608 82809 88943 110412 147216 165618 177886 220824 248427 266829 331236 355772 441648 496854 533658 662472 711544 800487 993708 1067316 1324944 1423088 1600974 1987416 2134632 2401461 3201948 3974832 4269264 4802922 6403896 7204383 9605844 12807792 14408766 19211688 28817532 38423376 57635064 115270128