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124011690 = 235112127269
BaseRepresentation
bin1110110010001…
…00010010101010
322122100110001120
413121010102222
5223221333230
620150000110
73034040055
oct731042252
9278313046
10124011690
1164001900
1235646036
131c8ccbca
1412681a9c
15ad49310
hex76444aa

124011690 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 29715840.

The previous prime is 124011677. The next prime is 124011733. The reversal of 124011690 is 96110421.

It is a super-2 number, since 2×1240116902 = 30757798513312200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 124011690.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460876 + ... + 461144.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2124011690 is an apocalyptic number.

124011690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124011690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

124011690 is an abundant number, since it is smaller than the sum of its proper divisors (206934870).

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

124011690 is a wasteful number, since it uses less digits than its factorization.

124011690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 124011690 is about 11136.0536097848. The cubic root of 124011690 is about 498.6787650852.

The spelling of 124011690 in words is "one hundred twenty-four million, eleven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 127 165 242 254 269 330 363 381 538 605 635 726 762 807 1210 1270 1345 1397 1614 1815 1905 2690 2794 2959 3630 3810 4035 4191 5918 6985 8070 8382 8877 13970 14795 15367 17754 20955 29590 30734 32549 34163 41910 44385 46101 65098 68326 76835 88770 92202 97647 102489 153670 162745 170815 195294 204978 230505 325490 341630 375793 461010 488235 512445 751586 976470 1024890 1127379 1878965 2254758 3757930 4133723 5636895 8267446 11273790 12401169 20668615 24802338 41337230 62005845 124011690