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124943540 = 22517894129
BaseRepresentation
bin1110111001001…
…11110010110100
322201002210022112
413130213302310
5223441143130
620221550152
73045000611
oct734476264
9281083275
10124943540
1164588a27
1235a15358
131cb680b7
1412845508
15ae80495
hex7727cb4

124943540 has 48 divisors (see below), whose sum is σ = 281005200. Its totient is φ = 46497792.

The previous prime is 124943519. The next prime is 124943549. The reversal of 124943540 is 45349421.

It can be written as a sum of positive squares in 8 ways, for example, as 487204 + 124456336 = 698^2 + 11156^2 .

It is a super-2 number, since 2×1249435402 = 31221776375463200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124943497 and 124943506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124943549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28196 + ... + 32324.

It is an arithmetic number, because the mean of its divisors is an integer number (5854275).

Almost surely, 2124943540 is an apocalyptic number.

124943540 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 124943540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140502600).

124943540 is an abundant number, since it is smaller than the sum of its proper divisors (156061660).

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

124943540 is a wasteful number, since it uses less digits than its factorization.

124943540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 124943540 is about 11177.8146343550. The cubic root of 124943540 is about 499.9247086630.

The spelling of 124943540 in words is "one hundred twenty-four million, nine hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1513 1780 3026 4129 6052 7565 8258 15130 16516 20645 30260 41290 70193 82580 140386 280772 350965 367481 701930 734962 1403860 1469924 1837405 3674810 6247177 7349620 12494354 24988708 31235885 62471770 124943540