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114093888 = 2632931661
BaseRepresentation
bin1101100110011…
…10111101000000
321221200120101120
412303032331000
5213202001023
615153232240
72553532146
oct663167500
9257616346
10114093888
1159448477
1232262680
131a83989c
141121d596
15a03a8e3
hex6ccef40

114093888 has 112 divisors (see below), whose sum is σ = 322844160. Its totient is φ = 35481600.

The previous prime is 114093883. The next prime is 114093901. The reversal of 114093888 is 888390411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114093883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172278 + ... + 172938.

Almost surely, 2114093888 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 114093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161422080).

114093888 is an abundant number, since it is smaller than the sum of its proper divisors (208750272).

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

114093888 is a wasteful number, since it uses less digits than its factorization.

114093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 114093888 is about 10681.4740555787. The cubic root of 114093888 is about 485.0138345861.

The spelling of 114093888 in words is "one hundred fourteen million, ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 661 696 744 899 928 992 1322 1392 1488 1798 1856 1983 1984 2644 2697 2784 2976 3596 3966 5288 5394 5568 5952 7192 7932 10576 10788 14384 15864 19169 20491 21152 21576 28768 31728 38338 40982 42304 43152 57507 57536 61473 63456 76676 81964 86304 115014 122946 126912 153352 163928 172608 230028 245892 306704 327856 460056 491784 594239 613408 655712 920112 983568 1188478 1226816 1311424 1782717 1840224 1967136 2376956 3565434 3680448 3934272 4753912 7130868 9507824 14261736 19015648 28523472 38031296 57046944 114093888