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1139821056 = 293211113199
BaseRepresentation
bin100001111110000…
…0100101000000000
32221102202220112200
41003330010220000
54313243233211
6305034153200
740150214313
oct10374045000
92842686480
101139821056
11535443480
12279882800
131521b3c3a
14ab54697a
156a0eeb56
hex43f04a00

1139821056 has 240 divisors, whose sum is σ = 3638606400. Its totient is φ = 340623360.

The previous prime is 1139821043. The next prime is 1139821069. The reversal of 1139821056 is 6501289311.

1139821056 is a `hidden beast` number, since 1 + 1 + 398 + 210 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1139821043) and next prime (1139821069).

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 1139821056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5727645 + ... + 5727843.

It is an arithmetic number, because the mean of its divisors is an integer number (15160860).

Almost surely, 21139821056 is an apocalyptic number.

1139821056 is a gapful number since it is divisible by the number (16) 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 1139821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819303200).

1139821056 is an abundant number, since it is smaller than the sum of its proper divisors (2498785344).

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

1139821056 is a wasteful number, since it uses less digits than its factorization.

1139821056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1139821056 is about 33761.2359963317. The cubic root of 1139821056 is about 1044.5892652596.

The spelling of 1139821056 in words is "one billion, one hundred thirty-nine million, eight hundred twenty-one thousand, fifty-six".