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13918500 = 2233531031
BaseRepresentation
bin110101000110…
…000100100100
3222012010121000
4311012010210
512030343000
61214153300
7226206501
oct65060444
928163530
1013918500
1179471a2
1247b2830
132b642cb
141bc44a8
15134e000
hexd46124

13918500 has 96 divisors (see below), whose sum is σ = 45077760. Its totient is φ = 3708000.

The previous prime is 13918483. The next prime is 13918501. The reversal of 13918500 is 581931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13918501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12985 + ... + 14015.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 213918500 is an apocalyptic number.

13918500 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 13918500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538880).

13918500 is an abundant number, since it is smaller than the sum of its proper divisors (31159260).

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

13918500 is a wasteful number, since it uses less digits than its factorization.

13918500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13918500 is about 3730.7505947195. The cubic root of 13918500 is about 240.5456335766.

The spelling of 13918500 in words is "thirteen million, nine hundred eighteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1031 1125 1350 1500 2062 2250 2700 3093 3375 4124 4500 5155 6186 6750 9279 10310 12372 13500 15465 18558 20620 25775 27837 30930 37116 46395 51550 55674 61860 77325 92790 103100 111348 128875 139185 154650 185580 231975 257750 278370 309300 386625 463950 515500 556740 695925 773250 927900 1159875 1391850 1546500 2319750 2783700 3479625 4639500 6959250 13918500