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425607120 = 243254359233
BaseRepresentation
bin11001010111100…
…011111111010000
31002122212002012200
4121113203333100
51332423411440
6110122123200
713355413041
oct3127437720
91078762180
10425607120
111a9275a24
12ba650500
136a238c43
144074c8c8
1527570c30
hex195e3fd0

425607120 has 240 divisors, whose sum is σ = 1493743680. Its totient is φ = 108509184.

The previous prime is 425607109. The next prime is 425607131. The reversal of 425607120 is 21706524.

425607120 is a `hidden beast` number, since 42 + 5 + 607 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (425607109) and next prime (425607131).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4256071202 = 362282841189388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1826524 + ... + 1826756.

It is an arithmetic number, because the mean of its divisors is an integer number (6223932).

Almost surely, 2425607120 is an apocalyptic number.

425607120 is a gapful number since it is divisible by the number (40) 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 425607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

425607120 is an abundant number, since it is smaller than the sum of its proper divisors (1068136560).

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

425607120 is a wasteful number, since it uses less digits than its factorization.

425607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

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

The square root of 425607120 is about 20630.2476960409. The cubic root of 425607120 is about 752.2051368080.

The spelling of 425607120 in words is "four hundred twenty-five million, six hundred seven thousand, one hundred twenty".