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20428776 = 23321671699
BaseRepresentation
bin100110111101…
…1011111101000
31102102220000100
41031323133220
520212210101
62005505400
7335433054
oct115733750
942386010
1020428776
1110593495
126a12260
134303644
1429dac64
151bd7e86
hex137b7e8

20428776 has 48 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 6764832.

The previous prime is 20428757. The next prime is 20428777. The reversal of 20428776 is 67782402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20428776.

It is not an unprimeable number, because it can be changed into a prime (20428777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11175 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 220428776 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 20428776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

20428776 is an abundant number, since it is smaller than the sum of its proper divisors (35263224).

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

20428776 is a wasteful number, since it uses less digits than its factorization.

20428776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20428776 is about 4519.8203504122. The cubic root of 20428776 is about 273.3678573617.

The spelling of 20428776 in words is "twenty million, four hundred twenty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 1699 2004 3006 3398 4008 5097 6012 6796 10194 12024 13592 15291 20388 30582 40776 61164 122328 283733 567466 851199 1134932 1702398 2269864 2553597 3404796 5107194 6809592 10214388 20428776