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124947920 = 2451818629
BaseRepresentation
bin1110111001010…
…00110111010000
322201010000022202
413130220313100
5223441313140
620222022332
73045016436
oct734506720
9281100282
10124947920
1164591249
1235a179a8
131cb6a0a6
1412846d56
15ae81915
hex7728dd0

124947920 has 40 divisors (see below), whose sum is σ = 292142760. Its totient is φ = 49697280.

The previous prime is 124947919. The next prime is 124947923. The reversal of 124947920 is 29749421.

It can be written as a sum of positive squares in 4 ways, for example, as 1915456 + 123032464 = 1384^2 + 11092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1249479202 = 31223965424652800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124947923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10166 + ... + 18794.

It is an arithmetic number, because the mean of its divisors is an integer number (7303569).

Almost surely, 2124947920 is an apocalyptic number.

124947920 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 124947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146071380).

124947920 is an abundant number, since it is smaller than the sum of its proper divisors (167194840).

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

124947920 is a wasteful number, since it uses less digits than its factorization.

124947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 124947920 is about 11178.0105564452. The cubic root of 124947920 is about 499.9305503539.

The spelling of 124947920 in words is "one hundred twenty-four million, nine hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 8629 14480 17258 34516 43145 69032 86290 138064 172580 345160 690320 1561849 3123698 6247396 7809245 12494792 15618490 24989584 31236980 62473960 124947920