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20274560 = 27579401
BaseRepresentation
bin100110101010…
…1110110000000
31102011001110122
41031111312000
520142241220
62002315412
7334221335
oct115256600
942131418
1020274560
1110498639
126958b68
13427b3a7
14299a98c
151ba7425
hex1355d80

20274560 has 64 divisors (see below), whose sum is σ = 49204800. Its totient is φ = 7987200.

The previous prime is 20274559. The next prime is 20274571. The reversal of 20274560 is 6547202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×202745602 = 822115566387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50360 + ... + 50760.

It is an arithmetic number, because the mean of its divisors is an integer number (768825).

Almost surely, 220274560 is an apocalyptic number.

20274560 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 20274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24602400).

20274560 is an abundant number, since it is smaller than the sum of its proper divisors (28930240).

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

20274560 is an equidigital number, since it uses as much as digits as its factorization.

20274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 20274560 is about 4502.7280619642. The cubic root of 20274560 is about 272.6782381878.

The spelling of 20274560 in words is "twenty million, two hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 401 632 640 790 802 1264 1580 1604 2005 2528 3160 3208 4010 5056 6320 6416 8020 10112 12640 12832 16040 25280 25664 31679 32080 50560 51328 63358 64160 126716 128320 158395 253432 256640 316790 506864 633580 1013728 1267160 2027456 2534320 4054912 5068640 10137280 20274560