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114266984 = 23132223379
BaseRepresentation
bin1101100111110…
…01001101101000
321222000100211112
412303321031220
5213223020414
615201045452
72555152616
oct663711550
9258010745
10114266984
1159556527
1232326888
131a89a600
14112666b6
15a071d3e
hex6cf9368

114266984 has 48 divisors (see below), whose sum is σ = 233654400. Its totient is φ = 52363584.

The previous prime is 114266983. The next prime is 114266987. The reversal of 114266984 is 489662411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114266981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301307 + ... + 301685.

It is an arithmetic number, because the mean of its divisors is an integer number (4867800).

Almost surely, 2114266984 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 114266984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116827200).

114266984 is an abundant number, since it is smaller than the sum of its proper divisors (119387416).

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

114266984 is a wasteful number, since it uses less digits than its factorization.

114266984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 114266984 is about 10689.5736117022. The cubic root of 114266984 is about 485.2589880452.

The spelling of 114266984 in words is "one hundred fourteen million, two hundred sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 169 223 338 379 446 676 758 892 1352 1516 1784 2899 3032 4927 5798 9854 11596 19708 23192 37687 39416 64051 75374 84517 128102 150748 169034 256204 301496 338068 512408 676136 1098721 2197442 4394884 8789768 14283373 28566746 57133492 114266984