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2392125120 = 2632572112367
BaseRepresentation
bin1000111010010100…
…1110111011000000
320011201012112202200
42032211032323000
514344341000440
61033211313200
7113164504500
oct21645167300
96151175680
102392125120
111018324010
1256914b800
132c178c468
141899ada00
15e001cc30
hex8e94eec0

2392125120 has 1008 divisors, whose sum is σ = 11057948928. Its totient is φ = 468357120.

The previous prime is 2392125089. The next prime is 2392125139. The reversal of 2392125120 is 215212932.

It is a happy number.

2392125120 is a `hidden beast` number, since 2 + 392 + 1 + 251 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35703327 + ... + 35703393.

Almost surely, 22392125120 is an apocalyptic number.

2392125120 is a gapful number since it is divisible by the number (20) 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 2392125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528974464).

2392125120 is an abundant number, since it is smaller than the sum of its proper divisors (8665823808).

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

2392125120 is a wasteful number, since it uses less digits than its factorization.

2392125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2392125120 is about 48909.3561601459. The cubic root of 2392125120 is about 1337.3999333527.

The spelling of 2392125120 in words is "two billion, three hundred ninety-two million, one hundred twenty-five thousand, one hundred twenty".