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5942880 = 253254127
BaseRepresentation
bin10110101010111001100000
3102011221002200
4112222321200
53010133010
6331213200
7101341116
oct26527140
912157080
105942880
113399a79
121ba7200
131300cc8
14b09ab6
157c5cc0
hex5aae60

5942880 has 72 divisors (see below), whose sum is σ = 20284992. Its totient is φ = 1584384.

The previous prime is 5942879. The next prime is 5942891. The reversal of 5942880 is 882495.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624 + ... + 3503.

It is an arithmetic number, because the mean of its divisors is an integer number (281736).

Almost surely, 25942880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142496).

5942880 is an abundant number, since it is smaller than the sum of its proper divisors (14342112).

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

5942880 is a wasteful number, since it uses less digits than its factorization.

5942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5942880 is about 2437.8022889480. The cubic root of 5942880 is about 181.1335867602.

The spelling of 5942880 in words is "five million, nine hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4127 8254 12381 16508 20635 24762 33016 37143 41270 49524 61905 66032 74286 82540 99048 123810 132064 148572 165080 185715 198096 247620 297144 330160 371430 396192 495240 594288 660320 742860 990480 1188576 1485720 1980960 2971440 5942880