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115416364 = 22723471697
BaseRepresentation
bin1101110000100…
…01110100101100
322001011202111011
412320101310230
5214021310424
615241435004
72601010600
oct670216454
9261152434
10115416364
115a171028
123279ba64
131abb080b
1411485500
15a1ec694
hex6e11d2c

115416364 has 36 divisors (see below), whose sum is σ = 235770696. Its totient is φ = 49292544.

The previous prime is 115416361. The next prime is 115416373. The reversal of 115416364 is 463614511.

It is not an unprimeable number, because it can be changed into a prime (115416361) 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, 67164 + ... + 68860.

It is an arithmetic number, because the mean of its divisors is an integer number (6549186).

Almost surely, 2115416364 is an apocalyptic number.

115416364 is a gapful number since it is divisible by the number (14) 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 115416364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117885348).

115416364 is an abundant number, since it is smaller than the sum of its proper divisors (120354332).

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

115416364 is a wasteful number, since it uses less digits than its factorization.

115416364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2053 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 115416364 is about 10743.2008265693. The cubic root of 115416364 is about 486.8805917163.

The spelling of 115416364 in words is "one hundred fifteen million, four hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 347 694 1388 1697 2429 3394 4858 6788 9716 11879 17003 23758 34006 47516 68012 83153 166306 332612 588859 1177718 2355436 4122013 8244026 16488052 28854091 57708182 115416364