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20400672 = 253212507
BaseRepresentation
bin100110111010…
…0101000100000
31102101110110110
41031310220200
520210310142
62005131320
7335255115
oct115645040
942343413
1020400672
1110574366
1269b9b40
1342c3906
1429d090c
151bce99c
hex1374a20

20400672 has 24 divisors (see below), whose sum is σ = 53552016. Its totient is φ = 6800192.

The previous prime is 20400671. The next prime is 20400673. The reversal of 20400672 is 27600402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20400671) and next prime (20400673).

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (20400671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106158 + ... + 106349.

It is an arithmetic number, because the mean of its divisors is an integer number (2231334).

Almost surely, 220400672 is an apocalyptic number.

It is an amenable number.

20400672 is an abundant number, since it is smaller than the sum of its proper divisors (33151344).

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

20400672 is a wasteful number, since it uses less digits than its factorization.

20400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212520 (or 212512 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20400672 is about 4516.7103072922. The cubic root of 20400672 is about 273.2424418527.

The spelling of 20400672 in words is "twenty million, four hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 212507 425014 637521 850028 1275042 1700056 2550084 3400112 5100168 6800224 10200336 20400672