Search a number
-
+
11353992 = 23313151241
BaseRepresentation
bin101011010011…
…111110001000
3210100211202020
4223103332020
510401311432
61043204440
7165336006
oct53237610
923324666
1011353992
116455471
123976720
132476c50
141717a76
15ee422c
hexad3f88

11353992 has 64 divisors (see below), whose sum is σ = 30898560. Its totient is φ = 3456000.

The previous prime is 11353987. The next prime is 11354009. The reversal of 11353992 is 29935311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46992 + ... + 47232.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 211353992 is an apocalyptic number.

11353992 is a gapful number since it is divisible by the number (12) 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 11353992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449280).

11353992 is an abundant number, since it is smaller than the sum of its proper divisors (19544568).

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

11353992 is a wasteful number, since it uses less digits than its factorization.

11353992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 11353992 is about 3369.5685183715. The cubic root of 11353992 is about 224.7585360217.

The spelling of 11353992 in words is "eleven million, three hundred fifty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 241 302 312 453 482 604 723 906 964 1208 1446 1812 1928 1963 2892 3133 3624 3926 5784 5889 6266 7852 9399 11778 12532 15704 18798 23556 25064 36391 37596 47112 72782 75192 109173 145564 218346 291128 436692 473083 873384 946166 1419249 1892332 2838498 3784664 5676996 11353992