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1327327056 = 2432112336433
BaseRepresentation
bin100111100011101…
…0110011101010000
310102111121012102100
41033013112131100
510204243431211
6335413120400
744615044116
oct11707263520
93374535370
101327327056
11621272510
12310629100
13181cb5433
14c83d5ab6
157b7dc156
hex4f1d6750

1327327056 has 120 divisors (see below), whose sum is σ = 4228675776. Its totient is φ = 384721920.

The previous prime is 1327327051. The next prime is 1327327063. The reversal of 1327327056 is 6507237231.

1327327056 is a `hidden beast` number, since 1 + 327 + 327 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×13273270562 = 3523594227179254272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1327327056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327327051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18216 + ... + 54648.

Almost surely, 21327327056 is an apocalyptic number.

1327327056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 36432×36433.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327327056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114337888).

1327327056 is an abundant number, since it is smaller than the sum of its proper divisors (2901348720).

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

1327327056 is a wasteful number, since it uses less digits than its factorization.

1327327056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36481 (or 36472 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1327327056 is about 36432.4999965690. The cubic root of 1327327056 is about 1098.9872375397.

The spelling of 1327327056 in words is "one billion, three hundred twenty-seven million, three hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 36432 36433 72866 109299 145732 218598 291464 327897 400763 437196 582928 655794 801526 837959 874392 1202289 1311588 1603052 1675918 1748784 2404578 2513877 2623176 3206104 3351836 3606867 4809156 5027754 5246352 6412208 6703672 7213734 7541631 9217549 9618312 10055508 13407344 14427468 15083262 18435098 19236624 20111016 27652647 28854936 30166524 36870196 40222032 55305294 57709872 60333048 73740392 82957941 110610588 120666096 147480784 165915882 221221176 331831764 442442352 663663528 1327327056