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13997700 = 223252103151
BaseRepresentation
bin110101011001…
…011010000100
3222100011020100
4311121122010
512040411300
61220004100
7226656423
oct65313204
928304210
1013997700
1179a0752
124830630
132b91382
141c052ba
151367700
hexd59684

13997700 has 108 divisors (see below), whose sum is σ = 44594368. Its totient is φ = 3672000.

The previous prime is 13997693. The next prime is 13997713. The reversal of 13997700 is 779931.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92625 + ... + 92775.

Almost surely, 213997700 is an apocalyptic number.

13997700 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 13997700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297184).

13997700 is an abundant number, since it is smaller than the sum of its proper divisors (30596668).

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

13997700 is a wasteful number, since it uses less digits than its factorization.

13997700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 13997700 is about 3741.3500237214. The cubic root of 13997700 is about 241.0010272966.

The spelling of 13997700 in words is "thirteen million, nine hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 151 180 206 225 300 302 309 412 450 453 515 604 618 755 900 906 927 1030 1236 1359 1510 1545 1812 1854 2060 2265 2575 2718 3020 3090 3708 3775 4530 4635 5150 5436 6180 6795 7550 7725 9060 9270 10300 11325 13590 15100 15450 15553 18540 22650 23175 27180 30900 31106 33975 45300 46350 46659 62212 67950 77765 92700 93318 135900 139977 155530 186636 233295 279954 311060 388825 466590 559908 699885 777650 933180 1166475 1399770 1555300 2332950 2799540 3499425 4665900 6998850 13997700