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124942480 = 24513196323
BaseRepresentation
bin1110111001001…
…11100010010000
322201002201212021
413130213202100
5223441124410
620221541224
73044664535
oct734474220
9281081767
10124942480
1164588153
1235a14814
131cb67780
1412844d8c
15ae7eeda
hex7727890

124942480 has 80 divisors (see below), whose sum is σ = 329353920. Its totient is φ = 43697664.

The previous prime is 124942453. The next prime is 124942481. The reversal of 124942480 is 84249421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1249424802 = 31221246617100800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (124942481) 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 15 ways as a sum of consecutive naturals, for example, 16599 + ... + 22921.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924).

Almost surely, 2124942480 is an apocalyptic number.

124942480 is a gapful number since it is divisible by the number (10) 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 124942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676960).

124942480 is an abundant number, since it is smaller than the sum of its proper divisors (204411440).

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

124942480 is a wasteful number, since it uses less digits than its factorization.

124942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 124942480 is about 11177.7672189038. The cubic root of 124942480 is about 499.9232948999.

The spelling of 124942480 in words is "one hundred twenty-four million, nine hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 6323 9880 12646 19760 25292 31615 50584 63230 82199 101168 120137 126460 164398 240274 252920 328796 410995 480548 505840 600685 657592 821990 961096 1201370 1315184 1561781 1643980 1922192 2402740 3123562 3287960 4805480 6247124 6575920 7808905 9610960 12494248 15617810 24988496 31235620 62471240 124942480