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124390368 = 2532431911
BaseRepresentation
bin1110110101000…
…00101111100000
322200001200111200
413122200233200
5223320442433
620202041200
73040205064
oct732405740
9280050450
10124390368
1164240363
12357a9200
131ca0338b
141273daa4
15adc1613
hex76a0be0

124390368 has 36 divisors (see below), whose sum is σ = 353735928. Its totient is φ = 41463360.

The previous prime is 124390361. The next prime is 124390381. The reversal of 124390368 is 863093421.

It is a tau number, because it is divible by the number of its divisors (36).

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 (124390361) 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 5 ways as a sum of consecutive naturals, for example, 215668 + ... + 216243.

It is an arithmetic number, because the mean of its divisors is an integer number (9825998).

Almost surely, 2124390368 is an apocalyptic number.

124390368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

124390368 is an abundant number, since it is smaller than the sum of its proper divisors (229345560).

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

124390368 is a wasteful number, since it uses less digits than its factorization.

124390368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431927 (or 431916 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 124390368 is about 11153.0429928338. The cubic root of 124390368 is about 499.1858323149.

The spelling of 124390368 in words is "one hundred twenty-four million, three hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 431911 863822 1295733 1727644 2591466 3455288 3887199 5182932 6910576 7774398 10365864 13821152 15548796 20731728 31097592 41463456 62195184 124390368