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115215696 = 2434194679
BaseRepresentation
bin1101101111000…
…00110101010000
322000210120020000
412313200311100
5213443400241
615233250000
72566213551
oct667406520
9260716200
10115215696
115a044292
1232703900
131ab4038b
1411432328
15a1aceb6
hex6de0d50

115215696 has 100 divisors (see below), whose sum is σ = 351093600. Its totient is φ = 36376128.

The previous prime is 115215691. The next prime is 115215707. The reversal of 115215696 is 696512511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115215696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115215691) 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 19 ways as a sum of consecutive naturals, for example, 22285 + ... + 26963.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2115215696 is an apocalyptic number.

115215696 is a gapful number since it is divisible by the number (16) 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 115215696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175546800).

115215696 is an abundant number, since it is smaller than the sum of its proper divisors (235877904).

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

115215696 is a wasteful number, since it uses less digits than its factorization.

115215696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4703 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 115215696 is about 10733.8574613230. The cubic root of 115215696 is about 486.5982573096.

The spelling of 115215696 in words is "one hundred fifteen million, two hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 4679 6156 8208 9358 12312 14037 18716 24624 28074 37432 42111 56148 74864 84222 88901 112296 126333 168444 177802 224592 252666 266703 336888 355604 378999 505332 533406 673776 711208 757998 800109 1010664 1066812 1422416 1515996 1600218 2021328 2133624 2400327 3031992 3200436 4267248 4800654 6063984 6400872 7200981 9601308 12801744 14401962 19202616 28803924 38405232 57607848 115215696