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20400975 = 3252712953
BaseRepresentation
bin100110111010…
…0101101001111
31102101110212200
41031310231033
520210312400
62005132543
7335256030
oct115645517
942343780
1020400975
1110574611
1269ba153
1342c3aaa
1429d0a87
151bceb00
hex1374b4f

20400975 has 36 divisors (see below), whose sum is σ = 41763696. Its totient is φ = 9325440.

The previous prime is 20400967. The next prime is 20400997. The reversal of 20400975 is 57900402.

It is not a de Polignac number, because 20400975 - 23 = 20400967 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4902 + ... + 8051.

Almost surely, 220400975 is an apocalyptic number.

20400975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20400975 is an abundant number, since it is smaller than the sum of its proper divisors (21362721).

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

20400975 is a wasteful number, since it uses less digits than its factorization.

20400975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12976 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20400975 is about 4516.7438492790. The cubic root of 20400975 is about 273.2437946194.

The spelling of 20400975 in words is "twenty million, four hundred thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 12953 38859 64765 90671 116577 194295 272013 323825 453355 582885 816039 971475 1360065 2266775 2914425 4080195 6800325 20400975