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1164053268 = 223473371523
BaseRepresentation
bin100010101100010…
…0000101100010100
310000010101000220000
41011120200230110
54340444201033
6311301411300
740563201210
oct10530405424
93003330800
101164053268
115480944a4
12285a09b30
13157219821
14b0853940
156c2d9a13
hex45620b14

1164053268 has 120 divisors (see below), whose sum is σ = 3490398912. Its totient is φ = 331382016.

The previous prime is 1164053251. The next prime is 1164053279. The reversal of 1164053268 is 8623504611.

It is a happy number.

1164053268 is a `hidden beast` number, since 1 + 1 + 64 + 0 + 532 + 68 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 763555 + ... + 765077.

Almost surely, 21164053268 is an apocalyptic number.

1164053268 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 1164053268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745199456).

1164053268 is an abundant number, since it is smaller than the sum of its proper divisors (2326345644).

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

1164053268 is a wasteful number, since it uses less digits than its factorization.

1164053268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1164053268 is about 34118.2248658983. The cubic root of 1164053268 is about 1051.9399564298.

Adding to 1164053268 its reverse (8623504611), we get a palindrome (9787557879).

The spelling of 1164053268 in words is "one billion, one hundred sixty-four million, fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 337 378 567 674 756 1011 1134 1348 1523 2022 2268 2359 3033 3046 4044 4569 4718 6066 6092 7077 9099 9138 9436 10661 12132 13707 14154 18198 18276 21231 21322 27297 27414 28308 31983 36396 41121 42462 42644 54594 54828 63693 63966 82242 84924 95949 109188 123363 127386 127932 164484 191079 191898 246726 254772 287847 382158 383796 493452 513251 575694 764316 863541 1026502 1151388 1539753 1727082 2053004 3079506 3454164 3592757 4619259 6159012 7185514 9238518 10778271 13857777 14371028 18477036 21556542 27715554 32334813 41573331 43113084 55431108 64669626 83146662 97004439 129339252 166293324 194008878 291013317 388017756 582026634 1164053268