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13699840 = 285711139
BaseRepresentation
bin110100010000…
…101100000000
3221210000122111
4310100230000
512001343330
61205345104
7224306140
oct64205400
927700574
1013699840
117807990
124708194
132ab891b
141b68920
15130932a
hexd10b00

13699840 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 4239360.

The previous prime is 13699793. The next prime is 13699853. The reversal of 13699840 is 4899631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13699793 and 13699802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98491 + ... + 98629.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 213699840 is an apocalyptic number.

13699840 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 13699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13699840 is an abundant number, since it is smaller than the sum of its proper divisors (27507200).

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

13699840 is a wasteful number, since it uses less digits than its factorization.

13699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13699840 is about 3701.3294908722. The cubic root of 13699840 is about 239.2793195631.

The spelling of 13699840 in words is "thirteen million, six hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 139 140 154 160 176 220 224 256 278 280 308 320 352 385 440 448 556 560 616 640 695 704 770 880 896 973 1112 1120 1232 1280 1390 1408 1529 1540 1760 1792 1946 2224 2240 2464 2780 2816 3058 3080 3520 3892 4448 4480 4865 4928 5560 6116 6160 7040 7645 7784 8896 8960 9730 9856 10703 11120 12232 12320 14080 15290 15568 17792 19460 19712 21406 22240 24464 24640 30580 31136 35584 38920 42812 44480 48928 49280 53515 61160 62272 77840 85624 88960 97856 98560 107030 122320 124544 155680 171248 177920 195712 214060 244640 249088 311360 342496 391424 428120 489280 622720 684992 856240 978560 1245440 1369984 1712480 1957120 2739968 3424960 6849920 13699840