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124189434 = 232191732099
BaseRepresentation
bin1110110011011…
…11101011111010
322122200110212200
413121233223322
5223243030214
620153451030
73035410215
oct731575372
9278613780
10124189434
11641133a6
1235710a76
131c962a95
14126ca77c
15ad81d09
hex766fafa

124189434 has 48 divisors (see below), whose sum is σ = 285012000. Its totient is φ = 38972448.

The previous prime is 124189433. The next prime is 124189459. The reversal of 124189434 is 434981421.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (124189433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58117 + ... + 60215.

It is an arithmetic number, because the mean of its divisors is an integer number (5937750).

Almost surely, 2124189434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124189434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142506000).

124189434 is an abundant number, since it is smaller than the sum of its proper divisors (160822566).

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

124189434 is a wasteful number, since it uses less digits than its factorization.

124189434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2296 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 124189434 is about 11144.0313172568. The cubic root of 124189434 is about 498.9169008198.

The spelling of 124189434 in words is "one hundred twenty-four million, one hundred eighty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 173 342 346 519 1038 1557 2099 3114 3287 4198 6297 6574 9861 12594 18891 19722 29583 37782 39881 59166 79762 119643 239286 358929 363127 717858 726254 1089381 2178762 3268143 6536286 6899413 13798826 20698239 41396478 62094717 124189434