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13839330 = 2352331647
BaseRepresentation
bin110100110010…
…101111100010
3222001002222210
4310302233202
512020324310
61212342550
7225426621
oct64625742
928032883
1013839330
1178a276a
124774a56
132b3726b
141ba36b8
151335820
hexd32be2

13839330 has 64 divisors (see below), whose sum is σ = 35831808. Its totient is φ = 3410880.

The previous prime is 13839311. The next prime is 13839347. The reversal of 13839330 is 3393831.

13839330 = T165 + T166 + ... + T443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21067 + ... + 21713.

It is an arithmetic number, because the mean of its divisors is an integer number (559872).

Almost surely, 213839330 is an apocalyptic number.

13839330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13839330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915904).

13839330 is an abundant number, since it is smaller than the sum of its proper divisors (21992478).

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

13839330 is a wasteful number, since it uses less digits than its factorization.

13839330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 13839330 is about 3720.1249978999. The cubic root of 13839330 is about 240.0886825046.

The spelling of 13839330 in words is "thirteen million, eight hundred thirty-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 647 690 713 930 1294 1426 1941 2139 3235 3565 3882 4278 6470 7130 9705 10695 14881 19410 20057 21390 29762 40114 44643 60171 74405 89286 100285 120342 148810 200570 223215 300855 446430 461311 601710 922622 1383933 2306555 2767866 4613110 6919665 13839330