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124389072 = 24324718379
BaseRepresentation
bin1110110101000…
…00011011010000
322200001121201200
413122200123100
5223320422242
620202031200
73040201233
oct732403320
9280047650
10124389072
116423a395
12357a8500
131ca02902
141273d41a
15adc104c
hex76a06d0

124389072 has 60 divisors (see below), whose sum is σ = 355542720. Its totient is φ = 40578624.

The previous prime is 124389061. The next prime is 124389073. The reversal of 124389072 is 270983421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124389073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422 + ... + 15957.

It is an arithmetic number, because the mean of its divisors is an integer number (5925712).

Almost surely, 2124389072 is an apocalyptic number.

124389072 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 124389072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177771360).

124389072 is an abundant number, since it is smaller than the sum of its proper divisors (231153648).

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

124389072 is a wasteful number, since it uses less digits than its factorization.

124389072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18440 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 124389072 is about 11152.9848919471. The cubic root of 124389072 is about 499.1840986676.

The spelling of 124389072 in words is "one hundred twenty-four million, three hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 18379 36758 55137 73516 110274 147032 165411 220548 294064 330822 441096 661644 863813 882192 1323288 1727626 2591439 2646576 3455252 5182878 6910504 7774317 10365756 13821008 15548634 20731512 31097268 41463024 62194536 124389072