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20447300 = 2252732801
BaseRepresentation
bin100111000000…
…0000001000100
31102110211102102
41032000001010
520213303200
62010131232
7335541056
oct116000104
942424372
1020447300
11105a63a5
126a20b18
13430bbc3
142a038d6
151bdd6d5
hex1380044

20447300 has 36 divisors (see below), whose sum is σ = 44994516. Its totient is φ = 8064000.

The previous prime is 20447293. The next prime is 20447341. The reversal of 20447300 is 374402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 215296 + 20232004 = 464^2 + 4498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5900 + ... + 8700.

Almost surely, 220447300 is an apocalyptic number.

20447300 is a gapful number since it is divisible by the number (20) 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 20447300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22497258).

20447300 is an abundant number, since it is smaller than the sum of its proper divisors (24547216).

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

20447300 is a wasteful number, since it uses less digits than its factorization.

20447300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 20447300 is about 4521.8690825808. The cubic root of 20447300 is about 273.4504587600.

The spelling of 20447300 in words is "twenty million, four hundred forty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 2801 3650 5602 7300 11204 14005 28010 56020 70025 140050 204473 280100 408946 817892 1022365 2044730 4089460 5111825 10223650 20447300