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425677120 = 26511314783
BaseRepresentation
bin11001010111110…
…101000101000000
31002122222122020021
4121113311011000
51332433131440
6110123423224
713356124111
oct3127650500
91078878207
10425677120
111a9313580
12ba684b14
136a261a6b
144076a208
152758684a
hex195f5140

425677120 has 224 divisors, whose sum is σ = 1179795456. Its totient is φ = 144844800.

The previous prime is 425677111. The next prime is 425677141. The reversal of 425677120 is 21776524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128599 + ... + 5128681.

It is an arithmetic number, because the mean of its divisors is an integer number (5266944).

Almost surely, 2425677120 is an apocalyptic number.

425677120 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 425677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

425677120 is an abundant number, since it is smaller than the sum of its proper divisors (754118336).

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

425677120 is a wasteful number, since it uses less digits than its factorization.

425677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 425677120 is about 20631.9441643293. The cubic root of 425677120 is about 752.2463731742.

The spelling of 425677120 in words is "four hundred twenty-five million, six hundred seventy-seven thousand, one hundred twenty".