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11480292 = 223631127
BaseRepresentation
bin101011110010…
…110011100100
3210121021000000
4223302303210
510414332132
61050021300
7166403145
oct53626344
923537000
1011480292
11653134a
123a17830
1324bc595
14174bacc
15101b87c
hexaf2ce4

11480292 has 84 divisors (see below), whose sum is σ = 31338496. Its totient is φ = 3674160.

The previous prime is 11480291. The next prime is 11480303. The reversal of 11480292 is 29208411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11480291) 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 27 ways as a sum of consecutive naturals, for example, 90333 + ... + 90459.

Almost surely, 211480292 is an apocalyptic number.

11480292 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 11480292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669248).

11480292 is an abundant number, since it is smaller than the sum of its proper divisors (19858204).

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

11480292 is a wasteful number, since it uses less digits than its factorization.

11480292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11480292 is about 3388.2579594830. The cubic root of 11480292 is about 225.5888575303.

The spelling of 11480292 in words is "eleven million, four hundred eighty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 127 162 186 243 254 279 324 372 381 486 508 558 729 762 837 972 1116 1143 1458 1524 1674 2286 2511 2916 3348 3429 3937 4572 5022 6858 7533 7874 10044 10287 11811 13716 15066 15748 20574 22599 23622 30132 30861 35433 41148 45198 47244 61722 70866 90396 92583 106299 123444 141732 185166 212598 318897 370332 425196 637794 956691 1275588 1913382 2870073 3826764 5740146 11480292