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20274408 = 23337112353
BaseRepresentation
bin100110101010…
…1110011101000
31102011001021000
41031111303220
520142240113
62002315000
7334221030
oct115256350
942131230
1020274408
1110498510
126958a60
13427b2bb
14299a8c0
151ba7373
hex1355ce8

20274408 has 256 divisors, whose sum is σ = 74649600. Its totient is φ = 4942080.

The previous prime is 20274391. The next prime is 20274413. The reversal of 20274408 is 80447202.

It is a super-2 number, since 2×202744082 = 822103239500928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382510 + ... + 382562.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 220274408 is an apocalyptic number.

20274408 is a gapful number since it is divisible by the number (28) 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 20274408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

20274408 is an abundant number, since it is smaller than the sum of its proper divisors (54375192).

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

20274408 is a wasteful number, since it uses less digits than its factorization.

20274408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20274408 is about 4502.7111832761. The cubic root of 20274408 is about 272.6775567559.

The spelling of 20274408 in words is "twenty million, two hundred seventy-four thousand, four hundred eight".