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125460720 = 243257113173
BaseRepresentation
bin1110111101001…
…10000011110000
322202002001202100
413132212003300
5224104220340
620241020400
73052253460
oct736460360
9282061670
10125460720
1164901550
1236024700
131ccb9618
141293bba0
15b033830
hex77a60f0

125460720 has 480 divisors, whose sum is σ = 549679104. Its totient is φ = 24883200.

The previous prime is 125460703. The next prime is 125460733. The reversal of 125460720 is 27064521.

125460720 is a `hidden beast` number, since 1 + 2 + 54 + 607 + 2 + 0 = 666.

125460720 is a nontrivial binomial coefficient, being equal to C(15841, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718604 + ... + 1718676.

Almost surely, 2125460720 is an apocalyptic number.

125460720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125460720 is the 15840-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274839552).

125460720 is an abundant number, since it is smaller than the sum of its proper divisors (424218384).

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

125460720 is a wasteful number, since it uses less digits than its factorization.

125460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125460720 is about 11200.9249618056. The cubic root of 125460720 is about 500.6135401623.

The spelling of 125460720 in words is "one hundred twenty-five million, four hundred sixty thousand, seven hundred twenty".