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13897800 = 23325271103
BaseRepresentation
bin110101000001…
…000001001000
3222011002012100
4311001001020
512024212200
61213513400
7226062240
oct65010110
928132170
1013897800
117932694
1247a2860
132b57a67
141bbab20
151347d00
hexd41048

13897800 has 144 divisors (see below), whose sum is σ = 53389440. Its totient is φ = 3173760.

The previous prime is 13897787. The next prime is 13897831. The reversal of 13897800 is 879831.

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

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 35 ways as a sum of consecutive naturals, for example, 12049 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (370760).

Almost surely, 213897800 is an apocalyptic number.

13897800 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 13897800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26694720).

13897800 is an abundant number, since it is smaller than the sum of its proper divisors (39491640).

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

13897800 is a wasteful number, since it uses less digits than its factorization.

13897800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13897800 is about 3727.9753218067. The cubic root of 13897800 is about 240.4263255787.

The spelling of 13897800 in words is "thirteen million, eight hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1103 1260 1400 1575 1800 2100 2206 2520 3150 3309 4200 4412 5515 6300 6618 7721 8824 9927 11030 12600 13236 15442 16545 19854 22060 23163 26472 27575 30884 33090 38605 39708 44120 46326 49635 55150 61768 66180 69489 77210 79416 82725 92652 99270 110300 115815 132360 138978 154420 165450 185304 193025 198540 220600 231630 248175 277956 308840 330900 347445 386050 397080 463260 496350 555912 579075 661800 694890 772100 926520 992700 1158150 1389780 1544200 1737225 1985400 2316300 2779560 3474450 4632600 6948900 13897800