Search a number
-
+
11151960 = 2335199467
BaseRepresentation
bin101010100010…
…101001011000
3202222120121120
4222202221120
510323330320
61035005240
7163535001
oct52425130
922876546
1011151960
1163276a6
123899820
132405cc1
1416a41a8
15ea4440
hexaa2a58

11151960 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 2952576.

The previous prime is 11151947. The next prime is 11151961. The reversal of 11151960 is 6915111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11151960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23647 + ... + 24113.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 211151960 is an apocalyptic number.

11151960 is a gapful number since it is divisible by the number (10) 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 11151960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

11151960 is an abundant number, since it is smaller than the sum of its proper divisors (22544040).

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

11151960 is a wasteful number, since it uses less digits than its factorization.

11151960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 11151960 is about 3339.4550453629. The cubic root of 11151960 is about 223.4174381877.

The spelling of 11151960 in words is "eleven million, one hundred fifty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 467 597 796 934 995 1194 1401 1592 1868 1990 2335 2388 2802 2985 3736 3980 4670 4776 5604 5970 7005 7960 9340 11208 11940 14010 18680 23880 28020 56040 92933 185866 278799 371732 464665 557598 743464 929330 1115196 1393995 1858660 2230392 2787990 3717320 5575980 11151960