Search a number
-
+
114266112 = 212317547
BaseRepresentation
bin1101100111110…
…01000000000000
321222000022122020
412303321000000
5213223003422
615201041440
72555150232
oct663710000
9258008566
10114266112
1159555904
1232326280
131a89a0ac
1411266252
15a07195c
hex6cf9000

114266112 has 104 divisors (see below), whose sum is σ = 323184096. Its totient is φ = 35782656.

The previous prime is 114266099. The next prime is 114266147. The reversal of 114266112 is 211662411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 208623 + ... + 209169.

Almost surely, 2114266112 is an apocalyptic number.

114266112 is a gapful number since it is divisible by the number (12) 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 114266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161592048).

114266112 is an abundant number, since it is smaller than the sum of its proper divisors (208917984).

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

114266112 is an equidigital number, since it uses as much as digits as its factorization.

114266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 569 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 114266112 is about 10689.5328242164. The cubic root of 114266112 is about 485.2577536644.

The spelling of 114266112 in words is "one hundred fourteen million, two hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 547 768 816 1024 1088 1094 1536 1632 1641 2048 2176 2188 3072 3264 3282 4096 4352 4376 6144 6528 6564 8704 8752 9299 12288 13056 13128 17408 17504 18598 26112 26256 27897 34816 35008 37196 52224 52512 55794 69632 70016 74392 104448 105024 111588 140032 148784 208896 210048 223176 280064 297568 420096 446352 560128 595136 840192 892704 1120256 1190272 1680384 1785408 2240512 2380544 3360768 3570816 4761088 6721536 7141632 9522176 14283264 19044352 28566528 38088704 57133056 114266112