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13853700 = 2233527733
BaseRepresentation
bin110100110110…
…010000000100
3222001211201000
4310312100010
512021304300
61212533300
7225516540
oct64662004
928054630
1013853700
117902543
124781230
132b40973
141ba8a20
151339c00
hexd36404

13853700 has 144 divisors (see below), whose sum is σ = 50968960. Its totient is φ = 3162240.

The previous prime is 13853681. The next prime is 13853701. The reversal of 13853700 is 735831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13853701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18534 + ... + 19266.

Almost surely, 213853700 is an apocalyptic number.

13853700 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 13853700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25484480).

13853700 is an abundant number, since it is smaller than the sum of its proper divisors (37115260).

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

13853700 is a wasteful number, since it uses less digits than its factorization.

13853700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13853700 is about 3722.0558835138. The cubic root of 13853700 is about 240.1717520591.

The spelling of 13853700 in words is "thirteen million, eight hundred fifty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 733 756 900 945 1050 1260 1350 1466 1575 1890 2100 2199 2700 2932 3150 3665 3780 4398 4725 5131 6300 6597 7330 8796 9450 10262 10995 13194 14660 15393 18325 18900 19791 20524 21990 25655 26388 30786 32985 36650 39582 43980 46179 51310 54975 61572 65970 73300 76965 79164 92358 98955 102620 109950 128275 131940 138537 153930 164925 184716 197910 219900 230895 256550 277074 307860 329850 384825 395820 461790 494775 513100 554148 659700 692685 769650 923580 989550 1154475 1385370 1539300 1979100 2308950 2770740 3463425 4617900 6926850 13853700