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114011872 = 25132231229
BaseRepresentation
bin1101100101110…
…10111011100000
321221112101212221
412302322323200
5213141334442
615151400424
72553041062
oct662727340
9257471787
10114011872
11593a1897
1232223114
131a80b460
14111db732
15a021467
hex6cbaee0

114011872 has 48 divisors (see below), whose sum is σ = 243008640. Its totient is φ = 52342272.

The previous prime is 114011869. The next prime is 114011881. The reversal of 114011872 is 278110411.

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, 92154 + ... + 93382.

It is an arithmetic number, because the mean of its divisors is an integer number (5062680).

Almost surely, 2114011872 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 114011872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121504320).

114011872 is an abundant number, since it is smaller than the sum of its proper divisors (128996768).

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

114011872 is a wasteful number, since it uses less digits than its factorization.

114011872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 114011872 is about 10677.6341948954. The cubic root of 114011872 is about 484.8975898838.

The spelling of 114011872 in words is "one hundred fourteen million, eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 223 416 446 892 1229 1784 2458 2899 3568 4916 5798 7136 9832 11596 15977 19664 23192 31954 39328 46384 63908 92768 127816 255632 274067 511264 548134 1096268 2192536 3562871 4385072 7125742 8770144 14251484 28502968 57005936 114011872