Search a number
-
+
11252120 = 23511107239
BaseRepresentation
bin101010111011…
…000110011000
3210011200000012
4222323012120
510340031440
61041101052
7164433005
oct52730630
923150005
1011252120
116395980
123927788
13243c779
1416cc8ac
15ec3e65
hexabb198

11252120 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 4036480.

The previous prime is 11252099. The next prime is 11252141. The reversal of 11252120 is 2125211.

11252120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11252099) and next prime (11252141).

It is a super-2 number, since 2×112521202 = 253220408988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11252095 and 11252104.

It is a congruent number.

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, 46961 + ... + 47199.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 211252120 is an apocalyptic number.

11252120 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 11252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

11252120 is an abundant number, since it is smaller than the sum of its proper divisors (16741480).

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

11252120 is a wasteful number, since it uses less digits than its factorization.

11252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 11252120 is about 3354.4179823033. The cubic root of 11252120 is about 224.0843113743.

Adding to 11252120 its reverse (2125211), we get a palindrome (13377331).

The spelling of 11252120 in words is "eleven million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 239 428 440 478 535 856 956 1070 1177 1195 1912 2140 2354 2390 2629 4280 4708 4780 5258 5885 9416 9560 10516 11770 13145 21032 23540 25573 26290 47080 51146 52580 102292 105160 127865 204584 255730 281303 511460 562606 1022920 1125212 1406515 2250424 2813030 5626060 11252120