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116275456 = 2811157263
BaseRepresentation
bin1101110111000…
…11100100000000
322002210101221101
412323203210000
5214231303311
615312104144
72611216333
oct673434400
9262711841
10116275456
115a6a8520
1232b35054
131b12185b
141162a61a
15a31bec1
hex6ee3900

116275456 has 72 divisors (see below), whose sum is σ = 255777984. Its totient is φ = 52316160.

The previous prime is 116275441. The next prime is 116275457. The reversal of 116275456 is 654572611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116275457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441981 + ... + 442243.

It is an arithmetic number, because the mean of its divisors is an integer number (3552472).

Almost surely, 2116275456 is an apocalyptic number.

116275456 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 116275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127888992).

116275456 is an abundant number, since it is smaller than the sum of its proper divisors (139502528).

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

116275456 is a wasteful number, since it uses less digits than its factorization.

116275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 116275456 is about 10783.1097555390. The cubic root of 116275456 is about 488.0856250362.

It can be divided in two parts, 116 and 275456, that added together give a palindrome (275572).

The spelling of 116275456 in words is "one hundred sixteen million, two hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 157 176 256 263 314 352 526 628 704 1052 1256 1408 1727 2104 2512 2816 2893 3454 4208 5024 5786 6908 8416 10048 11572 13816 16832 20096 23144 27632 33664 40192 41291 46288 55264 67328 82582 92576 110528 165164 185152 221056 330328 370304 442112 454201 660656 740608 908402 1321312 1816804 2642624 3633608 5285248 7267216 10570496 14534432 29068864 58137728 116275456