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1135376968 = 2311233715161
BaseRepresentation
bin100001110101100…
…0111101001001000
32221010102010101211
41003223013221020
54311124030333
6304355022504
740064354635
oct10353075110
92833363354
101135376968
11532988580
1227829aa34
131512b91bb
14aab0b18c
1569a22ecd
hex43ac7a48

1135376968 has 64 divisors (see below), whose sum is σ = 2488993920. Its totient is φ = 480268800.

The previous prime is 1135376959. The next prime is 1135376987. The reversal of 1135376968 is 8696735311.

It is a super-3 number, since 3×11353769683 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67308 + ... + 82468.

It is an arithmetic number, because the mean of its divisors is an integer number (38890530).

Almost surely, 21135376968 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 1135376968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244496960).

1135376968 is an abundant number, since it is smaller than the sum of its proper divisors (1353616952).

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

1135376968 is a wasteful number, since it uses less digits than its factorization.

1135376968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15238 (or 15234 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 1135376968 is about 33695.3552882293. The cubic root of 1135376968 is about 1043.2299018843.

The spelling of 1135376968 in words is "one billion, one hundred thirty-five million, three hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 37 44 46 74 88 92 148 184 253 296 407 506 814 851 1012 1628 1702 2024 3256 3404 6808 9361 15161 18722 30322 37444 60644 74888 121288 166771 333542 348703 560957 667084 697406 1121914 1334168 1394812 2243828 2789624 3835733 4487656 6170527 7671466 12341054 12902011 15342932 24682108 25804022 30685864 49364216 51608044 103216088 141922121 283844242 567688484 1135376968