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124945920 = 29325111729
BaseRepresentation
bin1110111001010…
…00011000000000
322201002220120200
413130220120000
5223441232140
620222005200
73045010551
oct734503000
9281086520
10124945920
116458a7a0
1235a16800
131cb691c8
1412846328
15ae81030
hex7728600

124945920 has 480 divisors, whose sum is σ = 517065120. Its totient is φ = 27525120.

The previous prime is 124945907. The next prime is 124945921. The reversal of 124945920 is 29549421.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1249459202 = 31222965849292800, which contains 22 as substring.

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 (124945921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308466 + ... + 4308494.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2124945920 is an apocalyptic number.

124945920 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 124945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258532560).

124945920 is an abundant number, since it is smaller than the sum of its proper divisors (392119200).

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

124945920 is a wasteful number, since it uses less digits than its factorization.

124945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 124945920 is about 11177.9210947296. The cubic root of 124945920 is about 499.9278829321.

The spelling of 124945920 in words is "one hundred twenty-four million, nine hundred forty-five thousand, nine hundred twenty".