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114584712 = 2331123113167
BaseRepresentation
bin1101101010001…
…10110010001000
321222121111200020
412311012302020
5213313202322
615211540440
72560645134
oct665066210
9258544606
10114584712
1159753210
123245a720
131a97c108
141130a3c4
15a0d605c
hex6d46c88

114584712 has 128 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 32721920.

The previous prime is 114584693. The next prime is 114584753. The reversal of 114584712 is 217485411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686053 + ... + 686219.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2114584712 is an apocalyptic number.

114584712 is a gapful number since it is divisible by the number (12) 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 114584712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

114584712 is an abundant number, since it is smaller than the sum of its proper divisors (216361848).

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

114584712 is a wasteful number, since it uses less digits than its factorization.

114584712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 114584712 is about 10704.4248794599. The cubic root of 114584712 is about 485.7083382696.

The spelling of 114584712 in words is "one hundred fourteen million, five hundred eighty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 113 132 138 167 184 226 253 264 276 334 339 452 501 506 552 668 678 759 904 1002 1012 1243 1336 1356 1518 1837 2004 2024 2486 2599 2712 3036 3674 3729 3841 4008 4972 5198 5511 6072 7348 7458 7682 7797 9944 10396 11022 11523 14696 14916 15364 15594 18871 20792 22044 23046 28589 29832 30728 31188 37742 42251 44088 46092 56613 57178 62376 75484 84502 85767 92184 113226 114356 126753 150968 169004 171534 207581 226452 228712 253506 338008 343068 415162 434033 452904 507012 622743 686136 830324 868066 1014024 1245486 1302099 1660648 1736132 2490972 2604198 3472264 4774363 4981944 5208396 9548726 10416792 14323089 19097452 28646178 38194904 57292356 114584712