Search a number
-
+
11151420 = 2235723793
BaseRepresentation
bin101010100010…
…100000111100
3202222112212120
4222202200330
510323321140
61035002540
7163533300
oct52424074
922875776
1011151420
116327255
123899450
132405997
1416a3d00
15ea41d0
hexaa283c

11151420 has 72 divisors (see below), whose sum is σ = 36331344. Its totient is φ = 2548224.

The previous prime is 11151419. The next prime is 11151421. The reversal of 11151420 is 2415111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11151419) and next prime (11151421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11151420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151421) 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, 1044 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (504602).

Almost surely, 211151420 is an apocalyptic number.

11151420 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 11151420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165672).

11151420 is an abundant number, since it is smaller than the sum of its proper divisors (25179924).

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

11151420 is a wasteful number, since it uses less digits than its factorization.

11151420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11151420 is about 3339.3741928691. The cubic root of 11151420 is about 223.4138320245.

Adding to 11151420 its reverse (2415111), we get a palindrome (13566531).

The spelling of 11151420 in words is "eleven million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3793 7586 11379 15172 18965 22758 26551 37930 45516 53102 56895 75860 79653 106204 113790 132755 159306 185857 227580 265510 318612 371714 398265 531020 557571 743428 796530 929285 1115142 1593060 1858570 2230284 2787855 3717140 5575710 11151420