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13694820 = 22351941293
BaseRepresentation
bin110100001111…
…011101100100
3221202202202120
4310033131210
512001213240
61205305540
7224255406
oct64173544
927682676
1013694820
117804137
1247052b0
132ab6559
141b66b76
151307ad0
hexd0f764

13694820 has 96 divisors (see below), whose sum is σ = 41489280. Its totient is φ = 3363840.

The previous prime is 13694819. The next prime is 13694831. The reversal of 13694820 is 2849631.

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, 46594 + ... + 46886.

It is an arithmetic number, because the mean of its divisors is an integer number (432180).

Almost surely, 213694820 is an apocalyptic number.

13694820 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 13694820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744640).

13694820 is an abundant number, since it is smaller than the sum of its proper divisors (27794460).

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

13694820 is a wasteful number, since it uses less digits than its factorization.

13694820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13694820 is about 3700.6512940292. The cubic root of 13694820 is about 239.2500898073.

The spelling of 13694820 in words is "thirteen million, six hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 293 380 410 492 570 586 615 779 820 879 1140 1172 1230 1465 1558 1758 2337 2460 2930 3116 3516 3895 4395 4674 5567 5860 7790 8790 9348 11134 11685 12013 15580 16701 17580 22268 23370 24026 27835 33402 36039 46740 48052 55670 60065 66804 72078 83505 111340 120130 144156 167010 180195 228247 240260 334020 360390 456494 684741 720780 912988 1141235 1369482 2282470 2738964 3423705 4564940 6847410 13694820