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20274400 = 255225343
BaseRepresentation
bin100110101010…
…1110011100000
31102011001020201
41031111303200
520142240100
62002314544
7334221016
oct115256340
942131221
1020274400
1110498503
126958a54
13427b2b3
14299a8b6
151ba736a
hex1355ce0

20274400 has 36 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 8109440.

The previous prime is 20274391. The next prime is 20274413. The reversal of 20274400 is 447202.

It is a super-2 number, since 2×202744002 = 822102590720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11872 + ... + 13471.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 220274400 is an apocalyptic number.

20274400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20274400 is an abundant number, since it is smaller than the sum of its proper divisors (29222432).

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

20274400 is a wasteful number, since it uses less digits than its factorization.

20274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25363 (or 25350 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 20274400 is about 4502.7102949224. The cubic root of 20274400 is about 272.6775208910.

The spelling of 20274400 in words is "twenty million, two hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 25343 50686 101372 126715 202744 253430 405488 506860 633575 810976 1013720 1267150 2027440 2534300 4054880 5068600 10137200 20274400