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124093296 = 243610639
BaseRepresentation
bin1110110010110…
…00001101110000
322122111121000000
413121120031300
5223231441141
620151430000
73034530015
oct731301560
9278447000
10124093296
1164058148
1235685300
131c92b0b2
14126a370c
15ad635b6
hex7658370

124093296 has 70 divisors (see below), whose sum is σ = 360515120. Its totient is φ = 41360544.

The previous prime is 124093289. The next prime is 124093297. The reversal of 124093296 is 692390421.

It is a super-2 number, since 2×1240932962 = 30798292224287232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 124093296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124093297) 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 13 ways as a sum of consecutive naturals, for example, 6345 + ... + 16983.

It is an arithmetic number, because the mean of its divisors is an integer number (5150216).

Almost surely, 2124093296 is an apocalyptic number.

124093296 is a gapful number since it is divisible by the number (16) 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 124093296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180257560).

124093296 is an abundant number, since it is smaller than the sum of its proper divisors (236421824).

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

124093296 is an equidigital number, since it uses as much as digits as its factorization.

124093296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 124093296 is about 11139.7170520620. The cubic root of 124093296 is about 498.7881264313.

The spelling of 124093296 in words is "one hundred twenty-four million, ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 10639 11664 21278 31917 42556 63834 85112 95751 127668 170224 191502 255336 287253 383004 510672 574506 766008 861759 1149012 1532016 1723518 2298024 2585277 3447036 4596048 5170554 6894072 7755831 10341108 13788144 15511662 20682216 31023324 41364432 62046648 124093296