Search a number
-
+
115677696 = 293127593
BaseRepresentation
bin1101110010100…
…01101000000000
322001200000222010
412321101220000
5214103141241
615251212520
72603146521
oct671215000
9261600863
10115677696
115a32a402
12328a7140
131ac72754
1411512848
15a24ed16
hex6e51a00

115677696 has 80 divisors (see below), whose sum is σ = 311122944. Its totient is φ = 38191104.

The previous prime is 115677671. The next prime is 115677703. The reversal of 115677696 is 696776511.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194776 + ... + 195368.

Almost surely, 2115677696 is an apocalyptic number.

115677696 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 115677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472).

115677696 is an abundant number, since it is smaller than the sum of its proper divisors (195445248).

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

115677696 is an equidigital number, since it uses as much as digits as its factorization.

115677696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The square root of 115677696 is about 10755.3566189132. The cubic root of 115677696 is about 487.2477885398.

The spelling of 115677696 in words is "one hundred fifteen million, six hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 593 762 768 1016 1186 1524 1536 1779 2032 2372 3048 3558 4064 4744 6096 7116 8128 9488 12192 14232 16256 18976 24384 28464 32512 37952 48768 56928 65024 75311 75904 97536 113856 150622 151808 195072 225933 227712 301244 303616 451866 455424 602488 903732 910848 1204976 1807464 2409952 3614928 4819904 7229856 9639808 14459712 19279616 28919424 38559232 57838848 115677696