Search a number
-
+
11299792 = 24732971
BaseRepresentation
bin101011000110…
…101111010000
3210021002101211
4223012233100
510343043132
61042105504
7165022000
oct53065720
923232354
1011299792
116418779
12394b294
13245838a
141702000
15ed3147
hexac6bd0

11299792 has 80 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 4609920.

The previous prime is 11299789. The next prime is 11299793. The reversal of 11299792 is 29799211.

It is a happy number.

11299792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11299793) 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, 159117 + ... + 159187.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 211299792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11299792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

11299792 is an abundant number, since it is smaller than the sum of its proper divisors (15484208).

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

11299792 is an equidigital number, since it uses as much as digits as its factorization.

11299792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its digits is 20412, while the sum is 40.

The square root of 11299792 is about 3361.5163245179. The cubic root of 11299792 is about 224.4003257907.

The spelling of 11299792 in words is "eleven million, two hundred ninety-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 71 98 112 116 142 196 203 232 284 343 392 406 464 497 568 686 784 812 994 1136 1372 1421 1624 1988 2059 2744 2842 3248 3479 3976 4118 5488 5684 6958 7952 8236 9947 11368 13916 14413 16472 19894 22736 24353 27832 28826 32944 39788 48706 55664 57652 79576 97412 100891 115304 159152 194824 201782 230608 389648 403564 706237 807128 1412474 1614256 2824948 5649896 11299792