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114528708 = 22337197769
BaseRepresentation
bin1101101001110…
…01000111000100
321222111122212000
412310321013010
5213304404313
615210425300
72560322640
oct664710704
9258448760
10114528708
1159715128
1232432230
131a95c788
14112d3c20
15a0c4673
hex6d391c4

114528708 has 96 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 32514048.

The previous prime is 114528649. The next prime is 114528731. The reversal of 114528708 is 807825411.

It is a super-2 number, since 2×1145287082 = 26233649912298528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148548 + ... + 149316.

It is an arithmetic number, because the mean of its divisors is an integer number (3557400).

Almost surely, 2114528708 is an apocalyptic number.

114528708 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114528708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).

114528708 is an abundant number, since it is smaller than the sum of its proper divisors (226981692).

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

114528708 is a wasteful number, since it uses less digits than its factorization.

114528708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 114528708 is about 10701.8086321892. The cubic root of 114528708 is about 485.6291943705.

The spelling of 114528708 in words is "one hundred fourteen million, five hundred twenty-eight thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 197 252 378 394 591 756 769 788 1182 1379 1538 1773 2307 2364 2758 3076 3546 4137 4614 5319 5383 5516 6921 7092 8274 9228 10638 10766 12411 13842 16149 16548 20763 21276 21532 24822 27684 32298 37233 41526 48447 49644 64596 74466 83052 96894 145341 148932 151493 193788 290682 302986 454479 581364 605972 908958 1060451 1363437 1817916 2120902 2726874 3181353 4090311 4241804 5453748 6362706 8180622 9544059 12725412 16361244 19088118 28632177 38176236 57264354 114528708