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114631808 = 274359353
BaseRepresentation
bin1101101010100…
…10010010000000
321222200220021112
412311102102000
5213321204213
615212542452
72561232344
oct665222200
9258626245
10114631808
1159785635
1232481a28
131a997695
141131d624
15a0e4ea8
hex6d52480

114631808 has 64 divisors (see below), whose sum is σ = 238312800. Its totient is φ = 54878208.

The previous prime is 114631789. The next prime is 114631819. The reversal of 114631808 is 808136411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

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, 324560 + ... + 324912.

Almost surely, 2114631808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119156400).

114631808 is an abundant number, since it is smaller than the sum of its proper divisors (123680992).

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

114631808 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (114631809) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (457).

114631808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 114631808 is about 10706.6244914072. The cubic root of 114631808 is about 485.7748735756.

The spelling of 114631808 in words is "one hundred fourteen million, six hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 128 172 236 344 353 472 688 706 944 1376 1412 1888 2537 2752 2824 3776 5074 5504 5648 7552 10148 11296 15179 20296 20827 22592 30358 40592 41654 45184 60716 81184 83308 121432 162368 166616 242864 324736 333232 485728 666464 895561 971456 1332928 1791122 1942912 2665856 3582244 7164488 14328976 28657952 57315904 114631808