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124114056 = 23311279541
BaseRepresentation
bin1110110010111…
…01010010001000
322122112122110220
413121131102020
5223233122211
620152110040
73034644363
oct731352210
9278478426
10124114056
1164071800
1235695320
131c937691
14126ab0da
15ad69806
hex765d488

124114056 has 96 divisors (see below), whose sum is σ = 346012800. Its totient is φ = 37065600.

The previous prime is 124114043. The next prime is 124114057. The reversal of 124114056 is 650411421.

It is a happy number.

It is a super-2 number, since 2×1241140562 = 30808597793542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (124114057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 229146 + ... + 229686.

It is an arithmetic number, because the mean of its divisors is an integer number (3604300).

Almost surely, 2124114056 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 124114056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173006400).

124114056 is an abundant number, since it is smaller than the sum of its proper divisors (221898744).

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

124114056 is a wasteful number, since it uses less digits than its factorization.

124114056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 124114056 is about 11140.6488141400. The cubic root of 124114056 is about 498.8159395484.

Adding to 124114056 its reverse (650411421), we get a palindrome (774525477).

The spelling of 124114056 in words is "one hundred twenty-four million, one hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 121 132 158 237 242 264 316 363 474 484 541 632 726 869 948 968 1082 1452 1623 1738 1896 2164 2607 2904 3246 3476 4328 5214 5951 6492 6952 9559 10428 11902 12984 17853 19118 20856 23804 28677 35706 38236 42739 47608 57354 65461 71412 76472 85478 114708 128217 130922 142824 170956 196383 229416 256434 261844 341912 392766 470129 512868 523688 785532 940258 1025736 1410387 1571064 1880516 2820774 3761032 5171419 5641548 10342838 11283096 15514257 20685676 31028514 41371352 62057028 124114056