Search a number
-
+
11279960 = 235733863
BaseRepresentation
bin101011000001…
…111001011000
3210020002012022
4223001321120
510341424320
61041434012
7164610116
oct53017130
923202168
1011279960
11640488a
12393b908
13244c343
1416d8ab6
15ecc325
hexac1e58

11279960 has 32 divisors (see below), whose sum is σ = 25734240. Its totient is φ = 4449024.

The previous prime is 11279951. The next prime is 11279963. The reversal of 11279960 is 6997211.

It is a self number, because there is not a number n which added to its sum of digits gives 11279960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11279963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 989 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (804195).

Almost surely, 211279960 is an apocalyptic number.

11279960 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 11279960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867120).

11279960 is an abundant number, since it is smaller than the sum of its proper divisors (14454280).

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

11279960 is a wasteful number, since it uses less digits than its factorization.

11279960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 11279960 is about 3358.5651698307. The cubic root of 11279960 is about 224.2689689968.

The spelling of 11279960 in words is "eleven million, two hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3863 7726 15452 19315 30904 38630 77260 154520 281999 563998 1127996 1409995 2255992 2819990 5639980 11279960