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1139641056 = 25336719687
BaseRepresentation
bin100001111101101…
…1000101011100000
32221102102202122000
41003323120223200
54313222003211
6305030244000
740145534451
oct10373305340
92842382560
101139641056
11535330214
122797b6600
13152150028
14ab4db128
156a0b6656
hex43ed8ae0

1139641056 has 96 divisors (see below), whose sum is σ = 3373735680. Its totient is φ = 374191488.

The previous prime is 1139641049. The next prime is 1139641073. The reversal of 1139641056 is 6501469311.

1139641056 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 641 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 1139641056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48045 + ... + 67731.

It is an arithmetic number, because the mean of its divisors is an integer number (35143080).

Almost surely, 21139641056 is an apocalyptic number.

1139641056 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 1139641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686867840).

1139641056 is an abundant number, since it is smaller than the sum of its proper divisors (2234094624).

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

1139641056 is a wasteful number, since it uses less digits than its factorization.

1139641056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19773 (or 19759 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1139641056 is about 33758.5701118990. The cubic root of 1139641056 is about 1044.5342753512.

The spelling of 1139641056 in words is "one billion, one hundred thirty-nine million, six hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1608 1809 2144 2412 3216 3618 4824 6432 7236 9648 14472 19296 19687 28944 39374 57888 59061 78748 118122 157496 177183 236244 314992 354366 472488 531549 629984 708732 944976 1063098 1319029 1417464 1889952 2126196 2638058 2834928 3957087 4252392 5276116 5669856 7914174 8504784 10552232 11871261 15828348 17009568 21104464 23742522 31656696 35613783 42208928 47485044 63313392 71227566 94970088 126626784 142455132 189940176 284910264 379880352 569820528 1139641056