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13697880 = 2335723709
BaseRepresentation
bin110100010000…
…001101011000
3221202220221220
4310100031120
512001313010
61205332040
7224300340
oct64201530
927686856
1013697880
117806469
124707020
132ab7a71
141b67d20
151308970
hexd10358

13697880 has 128 divisors (see below), whose sum is σ = 49075200. Its totient is φ = 2990592.

The previous prime is 13697833. The next prime is 13697891. The reversal of 13697880 is 8879631.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18966 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (383400).

Almost surely, 213697880 is an apocalyptic number.

13697880 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 13697880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537600).

13697880 is an abundant number, since it is smaller than the sum of its proper divisors (35377320).

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

13697880 is a wasteful number, since it uses less digits than its factorization.

13697880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 13697880 is about 3701.0647116742. The cubic root of 13697880 is about 239.2679079983.

The spelling of 13697880 in words is "thirteen million, six hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 709 805 840 920 966 1288 1380 1418 1610 1932 2127 2415 2760 2836 3220 3545 3864 4254 4830 4963 5672 6440 7090 8508 9660 9926 10635 14180 14889 16307 17016 19320 19852 21270 24815 28360 29778 32614 39704 42540 48921 49630 59556 65228 74445 81535 85080 97842 99260 114149 119112 130456 148890 163070 195684 198520 228298 244605 297780 326140 342447 391368 456596 489210 570745 595560 652280 684894 913192 978420 1141490 1369788 1712235 1956840 2282980 2739576 3424470 4565960 6848940 13697880