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1136216088 = 233276413517
BaseRepresentation
bin100001110111001…
…0100100000011000
32221011222202110100
41003232110200120
54311332403323
6304425015400
740104451230
oct10356244030
92834882410
101136216088
11533400a67
12278624560
13151521117
14aac88cc0
1569b3b943
hex43b94818

1136216088 has 96 divisors (see below), whose sum is σ = 3523347360. Its totient is φ = 324034560.

The previous prime is 1136216069. The next prime is 1136216089. The reversal of 1136216088 is 8806126311.

1136216088 is a `hidden beast` number, since 11 + 36 + 2 + 1 + 608 + 8 = 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 (1136216089) 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, 321306 + ... + 324822.

It is an arithmetic number, because the mean of its divisors is an integer number (36701535).

Almost surely, 21136216088 is an apocalyptic number.

1136216088 is a gapful number since it is divisible by the number (18) 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 1136216088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761673680).

1136216088 is an abundant number, since it is smaller than the sum of its proper divisors (2387131272).

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

1136216088 is a wasteful number, since it uses less digits than its factorization.

1136216088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1136216088 is about 33707.8045562152. The cubic root of 1136216088 is about 1043.4868443008.

The spelling of 1136216088 in words is "one billion, one hundred thirty-six million, two hundred sixteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 641 1282 1923 2564 3517 3846 4487 5128 5769 7034 7692 8974 10551 11538 13461 14068 15384 17948 21102 23076 24619 26922 28136 31653 35896 40383 42204 46152 49238 53844 63306 73857 80766 84408 98476 107688 126612 147714 161532 196952 221571 253224 295428 323064 443142 590856 886284 1772568 2254397 4508794 6763191 9017588 13526382 15780779 18035176 20289573 27052764 31561558 40579146 47342337 54105528 63123116 81158292 94684674 126246232 142027011 162316584 189369348 284054022 378738696 568108044 1136216088