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1136064564 = 22323110110079
BaseRepresentation
bin100001110110110…
…1111100000110100
32221011201001121100
41003231233200310
54311313031224
6304421450100
740103250405
oct10355574064
92834631540
101136064564
11533308138
12278570930
1315149a16b
14aac499ac
1569b0bac9
hex43b6f834

1136064564 has 72 divisors (see below), whose sum is σ = 2994001920. Its totient is φ = 362808000.

The previous prime is 1136064547. The next prime is 1136064569. The reversal of 1136064564 is 4654606311.

It is a happy number.

1136064564 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 645 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136064569) 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, 107677 + ... + 117755.

It is an arithmetic number, because the mean of its divisors is an integer number (41583360).

Almost surely, 21136064564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136064564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

1136064564 is an abundant number, since it is smaller than the sum of its proper divisors (1857937356).

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

1136064564 is a wasteful number, since it uses less digits than its factorization.

1136064564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10216 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1136064564 is about 33705.5568712342. The cubic root of 1136064564 is about 1043.4404563143.

The spelling of 1136064564 in words is "one billion, one hundred thirty-six million, sixty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 909 1116 1212 1818 3131 3636 6262 9393 10079 12524 18786 20158 28179 30237 37572 40316 56358 60474 90711 112716 120948 181422 312449 362844 624898 937347 1017979 1249796 1874694 2035958 2812041 3053937 3749388 4071916 5624082 6107874 9161811 11248164 12215748 18323622 31557349 36647244 63114698 94672047 126229396 189344094 284016141 378688188 568032282 1136064564