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1152514968 = 2331159611213
BaseRepresentation
bin100010010110001…
…1111101110011000
32222022122211022120
41010230133232120
54330020434333
6310210221240
740363133643
oct10454375630
92868584276
101152514968
11541623610
12281b84820
13154a09a27
14ad0cca5a
156b2aadb3
hex44b1fb98

1152514968 has 128 divisors (see below), whose sum is σ = 3251577600. Its totient is φ = 337420800.

The previous prime is 1152514927. The next prime is 1152514969. The reversal of 1152514968 is 8694152511.

1152514968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152514969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949530 + ... + 950742.

It is an arithmetic number, because the mean of its divisors is an integer number (25402950).

Almost surely, 21152514968 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 1152514968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625788800).

1152514968 is an abundant number, since it is smaller than the sum of its proper divisors (2099062632).

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

1152514968 is a wasteful number, since it uses less digits than its factorization.

1152514968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 1152514968 is about 33948.7108444489. The cubic root of 1152514968 is about 1048.4527378809.

The spelling of 1152514968 in words is "one billion, one hundred fifty-two million, five hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 61 66 88 118 122 132 177 183 236 244 264 354 366 472 488 649 671 708 732 1213 1298 1342 1416 1464 1947 2013 2426 2596 2684 3599 3639 3894 4026 4852 5192 5368 7198 7278 7788 8052 9704 10797 13343 14396 14556 15576 16104 21594 26686 28792 29112 39589 40029 43188 53372 71567 73993 79178 80058 86376 106744 118767 143134 147986 158356 160116 214701 221979 237534 286268 295972 316712 320232 429402 443958 475068 572536 591944 787237 813923 858804 887916 950136 1574474 1627846 1717608 1775832 2361711 2441769 3148948 3255692 4365587 4723422 4883538 6297896 6511384 8731174 9446844 9767076 13096761 17462348 18893688 19534152 26193522 34924696 48021457 52387044 96042914 104774088 144064371 192085828 288128742 384171656 576257484 1152514968