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1164247152 = 24341247307
BaseRepresentation
bin100010101100101…
…0000000001110000
310000010201212211220
41011121100001300
54341021402102
6311305505040
740564636365
oct10531200160
93003655756
101164247152
11548207132
12285aa2180
13157286b53
14b08a446c
156c3271bc
hex45650070

1164247152 has 120 divisors (see below), whose sum is σ = 3158631168. Its totient is φ = 369354240.

The previous prime is 1164247151. The next prime is 1164247157. The reversal of 1164247152 is 2517424611.

It is a super-2 number, since 2×11642471522 = 2710942861880222208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164247151) 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, 3792183 + ... + 3792489.

Almost surely, 21164247152 is an apocalyptic number.

1164247152 is a gapful number since it is divisible by the number (12) 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 1164247152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579315584).

1164247152 is an abundant number, since it is smaller than the sum of its proper divisors (1994384016).

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

1164247152 is a wasteful number, since it uses less digits than its factorization.

1164247152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 400 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 1164247152 is about 34121.0661029224. The cubic root of 1164247152 is about 1051.9983566794.

The spelling of 1164247152 in words is "one billion, one hundred sixty-four million, two hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 141 164 188 246 282 307 328 376 492 564 614 656 752 921 984 1128 1228 1681 1842 1927 1968 2256 2456 3362 3684 3854 4912 5043 5781 6724 7368 7708 10086 11562 12587 13448 14429 14736 15416 20172 23124 25174 26896 28858 30832 37761 40344 43287 46248 50348 57716 75522 79007 80688 86574 92496 100696 115432 151044 158014 173148 201392 230864 237021 302088 316028 346296 474042 516067 591589 604176 632056 692592 948084 1032134 1183178 1264112 1548201 1774767 1896168 2064268 2366356 3096402 3549534 3792336 4128536 4732712 6192804 7099068 8257072 9465424 12385608 14198136 24255149 24771216 28396272 48510298 72765447 97020596 145530894 194041192 291061788 388082384 582123576 1164247152