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13766260 = 22517192131
BaseRepresentation
bin110100100000…
…111001110100
3221220101202111
4310200321310
512011010020
61211020404
7225003604
oct64407164
927811674
1013766260
117852882
12473a704
132b0cc21
141b84c04
15131dd5a
hexd20e74

13766260 has 48 divisors (see below), whose sum is σ = 32235840. Its totient is φ = 4907520.

The previous prime is 13766251. The next prime is 13766281. The reversal of 13766260 is 6266731.

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, 5395 + ... + 7525.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 213766260 is an apocalyptic number.

13766260 is a gapful number since it is divisible by the number (10) 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 13766260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117920).

13766260 is an abundant number, since it is smaller than the sum of its proper divisors (18469580).

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

13766260 is a wasteful number, since it uses less digits than its factorization.

13766260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 13766260 is about 3710.2910937014. The cubic root of 13766260 is about 239.6653901827.

The spelling of 13766260 in words is "thirteen million, seven hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 2131 3230 4262 6460 8524 10655 21310 36227 40489 42620 72454 80978 144908 161956 181135 202445 362270 404890 688313 724540 809780 1376626 2753252 3441565 6883130 13766260