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114565728 = 25359113179
BaseRepresentation
bin1101101010000…
…10001001100000
321222120112122010
412311002021200
5213312100403
615211312520
72560535604
oct665021140
9258515563
10114565728
115973aa22
123244b740
131a973594
1411303504
15a0d0603
hex6d42260

114565728 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 37001216.

The previous prime is 114565709. The next prime is 114565729. The reversal of 114565728 is 827565411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114565729) 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, 639943 + ... + 640121.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2114565728 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 114565728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

114565728 is an abundant number, since it is smaller than the sum of its proper divisors (195696672).

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

114565728 is a wasteful number, since it uses less digits than its factorization.

114565728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 114565728 is about 10703.5381066262. The cubic root of 114565728 is about 485.6815132938.

The spelling of 114565728 in words is "one hundred fourteen million, five hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 113 118 177 179 226 236 339 354 358 452 472 537 678 708 716 904 944 1074 1356 1416 1432 1808 1888 2148 2712 2832 2864 3616 4296 5424 5664 5728 6667 8592 10561 10848 13334 17184 20001 20227 21122 26668 31683 40002 40454 42244 53336 60681 63366 80004 80908 84488 106672 121362 126732 160008 161816 168976 213344 242724 253464 320016 323632 337952 485448 506928 640032 647264 970896 1013856 1193393 1941792 2386786 3580179 4773572 7160358 9547144 14320716 19094288 28641432 38188576 57282864 114565728