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11204292 = 22311174993
BaseRepresentation
bin101010101111…
…011011000100
3210002020101210
4222233123010
510332014132
61040051420
7164143401
oct52573304
923066353
1011204292
116362a50
123903b70
132423a78
1416b92a8
15eb4bcc
hexaaf6c4

11204292 has 48 divisors (see below), whose sum is σ = 30203712. Its totient is φ = 3194880.

The previous prime is 11204287. The next prime is 11204293. The reversal of 11204292 is 29240211.

It is not an unprimeable number, because it can be changed into a prime (11204293) by changing a digit.

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, 253 + ... + 4740.

It is an arithmetic number, because the mean of its divisors is an integer number (629244).

Almost surely, 211204292 is an apocalyptic number.

11204292 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 11204292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101856).

11204292 is an abundant number, since it is smaller than the sum of its proper divisors (18999420).

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

11204292 is a wasteful number, since it uses less digits than its factorization.

11204292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11204292 is about 3347.2812848639. The cubic root of 11204292 is about 223.7663646052.

The spelling of 11204292 in words is "eleven million, two hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4993 9986 14979 19972 29958 54923 59916 84881 109846 164769 169762 219692 254643 329538 339524 509286 659076 933691 1018572 1867382 2801073 3734764 5602146 11204292