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115352550 = 23252318269
BaseRepresentation
bin1101110000000…
…10001111100110
322001001111221200
412320002033212
5214012240200
615240223330
72600323545
oct670021746
9261044850
10115352550
115a128095
123276ab46
131ab8a761
141146a15c
15a1d8800
hex6e023e6

115352550 has 72 divisors (see below), whose sum is σ = 319949760. Its totient is φ = 29764800.

The previous prime is 115352543. The next prime is 115352551. The reversal of 115352550 is 55253511.

115352550 is a `hidden beast` number, since 11 + 53 + 52 + 550 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115352551) 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 35 ways as a sum of consecutive naturals, for example, 9816 + ... + 18084.

Almost surely, 2115352550 is an apocalyptic number.

115352550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115352550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159974880).

115352550 is an abundant number, since it is smaller than the sum of its proper divisors (204597210).

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

115352550 is a wasteful number, since it uses less digits than its factorization.

115352550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 115352550 is about 10740.2304444551. The cubic root of 115352550 is about 486.7908426693.

The spelling of 115352550 in words is "one hundred fifteen million, three hundred fifty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 8269 13950 16538 24807 41345 49614 74421 82690 124035 148842 206725 248070 256339 372105 413450 512678 620175 744210 769017 1240350 1281695 1538034 1860525 2307051 2563390 3721050 3845085 4614102 6408475 7690170 11535255 12816950 19225425 23070510 38450850 57676275 115352550