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11289460 = 2257136203
BaseRepresentation
bin101011000100…
…001101110100
3210020120020011
4223010031310
510342230320
61041550004
7164646610
oct53041564
923216204
1011289460
116410a36
123945304
132453770
1416dc340
15ed005a
hexac4374

11289460 has 48 divisors (see below), whose sum is σ = 29183616. Its totient is φ = 3572352.

The previous prime is 11289451. The next prime is 11289511. The reversal of 11289460 is 6498211.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 4921.

It is an arithmetic number, because the mean of its divisors is an integer number (607992).

Almost surely, 211289460 is an apocalyptic number.

11289460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11289460 is an abundant number, since it is smaller than the sum of its proper divisors (17894156).

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

11289460 is a wasteful number, since it uses less digits than its factorization.

11289460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 11289460 is about 3359.9791666021. The cubic root of 11289460 is about 224.3319112226.

The spelling of 11289460 in words is "eleven million, two hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 6203 12406 24812 31015 43421 62030 80639 86842 124060 161278 173684 217105 322556 403195 434210 564473 806390 868420 1128946 1612780 2257892 2822365 5644730 11289460