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20368872 = 23321012801
BaseRepresentation
bin100110110110…
…0110111101000
31102022211211200
41031230313220
520203300442
62004324200
7335063316
oct115546750
942284750
1020368872
1110552487
1269a3660
1342b22b4
1429c30b6
151bc534c
hex136cde8

20368872 has 48 divisors (see below), whose sum is σ = 55731780. Its totient is φ = 6720000.

The previous prime is 20368853. The next prime is 20368877. The reversal of 20368872 is 27886302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18610596 + 1758276 = 4314^2 + 1326^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20368877) 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, 5872 + ... + 8672.

Almost surely, 220368872 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 20368872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27865890).

20368872 is an abundant number, since it is smaller than the sum of its proper divisors (35362908).

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

20368872 is a wasteful number, since it uses less digits than its factorization.

20368872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20368872 is about 4513.1886732110. The cubic root of 20368872 is about 273.1003937812.

The spelling of 20368872 in words is "twenty million, three hundred sixty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 2801 3636 5602 7272 8403 11204 16806 22408 25209 33612 50418 67224 100836 201672 282901 565802 848703 1131604 1697406 2263208 2546109 3394812 5092218 6789624 10184436 20368872