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120250240 = 27511192931
BaseRepresentation
bin1110010101011…
…01111110000000
322101021100022121
413022231332000
5221241001430
615533214024
72660052535
oct712557600
9271240277
10120250240
1161972870
1234331314
131bbb3ab6
1411d82d8c
15a854a7a
hex72adf80

120250240 has 256 divisors, whose sum is σ = 352512000. Its totient is φ = 38707200.

The previous prime is 120250237. The next prime is 120250261. The reversal of 120250240 is 42052021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3879025 + ... + 3879055.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2120250240 is an apocalyptic number.

120250240 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 120250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

120250240 is an abundant number, since it is smaller than the sum of its proper divisors (232261760).

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

120250240 is a wasteful number, since it uses less digits than its factorization.

120250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 120250240 is about 10965.8670427833. The cubic root of 120250240 is about 493.5850351003.

The spelling of 120250240 in words is "one hundred twenty million, two hundred fifty thousand, two hundred forty".