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13827380 = 2257283349
BaseRepresentation
bin110100101111…
…110100110100
3222000111121012
4310233310310
512014434010
61212211352
7225350030
oct64576464
928014535
1013827380
117894796
124769b58
132b319a8
141b9d1c0
151332005
hexd2fd34

13827380 has 48 divisors (see below), whose sum is σ = 33398400. Its totient is φ = 4710528.

The previous prime is 13827377. The next prime is 13827397. The reversal of 13827380 is 8372831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39446 + ... + 39794.

It is an arithmetic number, because the mean of its divisors is an integer number (695800).

Almost surely, 213827380 is an apocalyptic number.

13827380 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 13827380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699200).

13827380 is an abundant number, since it is smaller than the sum of its proper divisors (19571020).

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

13827380 is a wasteful number, since it uses less digits than its factorization.

13827380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 13827380 is about 3718.5185222075. The cubic root of 13827380 is about 240.0195585912.

The spelling of 13827380 in words is "thirteen million, eight hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 349 566 698 1132 1396 1415 1745 1981 2443 2830 3490 3962 4886 5660 6980 7924 9772 9905 12215 19810 24430 39620 48860 98767 197534 395068 493835 691369 987670 1382738 1975340 2765476 3456845 6913690 13827380