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5901984 = 25361123
BaseRepresentation
bin10110100000111010100000
3102002212000000
4112200322200
53002330414
6330300000
7101110644
oct26407240
912085000
105901984
113371280
121b87600
1312b84ca
14ad8c24
157b8b09
hex5a0ea0

5901984 has 168 divisors, whose sum is σ = 19831392. Its totient is φ = 1710720.

The previous prime is 5901971. The next prime is 5902019. The reversal of 5901984 is 4891095.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256597 + ... + 256619.

It is an arithmetic number, because the mean of its divisors is an integer number (118044).

Almost surely, 25901984 is an apocalyptic number.

5901984 is a gapful number since it is divisible by the number (54) 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 5901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915696).

5901984 is an abundant number, since it is smaller than the sum of its proper divisors (13929408).

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

5901984 is a wasteful number, since it uses less digits than its factorization.

5901984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5901984 is about 2429.3999259076. The cubic root of 5901984 is about 180.7171390477.

The spelling of 5901984 in words is "five million, nine hundred one thousand, nine hundred eighty-four".