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13809960 = 2333519673
BaseRepresentation
bin110100101011…
…100100101000
3221222121201000
4310223210220
512013404320
61211555000
7225245163
oct64534450
927877630
1013809960
11788269a
12475ba60
132b26a98
141b96ada
15132bc90
hexd2b928

13809960 has 128 divisors (see below), whose sum is σ = 48528000. Its totient is φ = 3483648.

The previous prime is 13809949. The next prime is 13809977. The reversal of 13809960 is 6990831.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 20184 + ... + 20856.

It is an arithmetic number, because the mean of its divisors is an integer number (379125).

Almost surely, 213809960 is an apocalyptic number.

13809960 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 13809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264000).

13809960 is an abundant number, since it is smaller than the sum of its proper divisors (34718040).

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

13809960 is a wasteful number, since it uses less digits than its factorization.

13809960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13809960 is about 3716.1754533391. The cubic root of 13809960 is about 239.9187224780.

The spelling of 13809960 in words is "thirteen million, eight hundred nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 673 684 760 855 1026 1080 1140 1346 1368 1710 2019 2052 2280 2565 2692 3365 3420 4038 4104 5130 5384 6057 6730 6840 8076 10095 10260 12114 12787 13460 16152 18171 20190 20520 24228 25574 26920 30285 36342 38361 40380 48456 51148 60570 63935 72684 76722 80760 90855 102296 115083 121140 127870 145368 153444 181710 191805 230166 242280 255740 306888 345249 363420 383610 460332 511480 575415 690498 726840 767220 920664 1150830 1380996 1534440 1726245 2301660 2761992 3452490 4603320 6904980 13809960