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114863696 = 24171732441
BaseRepresentation
bin1101101100010…
…10111001010000
322000010200100222
412312022321100
5213401114241
615221532212
72563216403
oct666127120
9260120328
10114863696
1159923882
1232574068
131aa490ac
141137dd3a
15a13da4b
hex6d8ae50

114863696 has 40 divisors (see below), whose sum is σ = 237098664. Its totient is φ = 53719040.

The previous prime is 114863689. The next prime is 114863699. The reversal of 114863696 is 696368411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30958096 + 83905600 = 5564^2 + 9160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114863699) 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 7 ways as a sum of consecutive naturals, for example, 45836 + ... + 48276.

Almost surely, 2114863696 is an apocalyptic number.

114863696 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 114863696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118549332).

114863696 is an abundant number, since it is smaller than the sum of its proper divisors (122234968).

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

114863696 is a wasteful number, since it uses less digits than its factorization.

114863696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2633 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 114863696 is about 10717.4482037470. The cubic root of 114863696 is about 486.1022099829.

The spelling of 114863696 in words is "one hundred fourteen million, eight hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 173 272 346 692 1384 2441 2768 2941 4882 5882 9764 11764 19528 23528 39056 41497 47056 82994 165988 331976 422293 663952 844586 1689172 3378344 6756688 7178981 14357962 28715924 57431848 114863696