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20079456 = 253375653
BaseRepresentation
bin100110010011…
…0001101100000
31101210010211120
41030212031200
520120020311
61554212240
7332446455
oct114461540
941703746
1020079456
1110374aa1
126884080
134210647
14294982c
151b69706
hex1326360

20079456 has 48 divisors (see below), whose sum is σ = 54142704. Its totient is φ = 6511104.

The previous prime is 20079427. The next prime is 20079457. The reversal of 20079456 is 65497002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20079457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726 + ... + 6378.

It is an arithmetic number, because the mean of its divisors is an integer number (1127973).

Almost surely, 220079456 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 20079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27071352).

20079456 is an abundant number, since it is smaller than the sum of its proper divisors (34063248).

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

20079456 is a wasteful number, since it uses less digits than its factorization.

20079456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20079456 is about 4481.0106002999. The cubic root of 20079456 is about 271.8007479617.

The spelling of 20079456 in words is "twenty million, seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5653 11306 16959 22612 33918 45224 67836 90448 135672 180896 209161 271344 418322 542688 627483 836644 1254966 1673288 2509932 3346576 5019864 6693152 10039728 20079456