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13801518 = 23217233753
BaseRepresentation
bin110100101001…
…100000101110
3221222012010100
4310221200232
512013122033
61211451530
7225211443
oct64514056
927865110
1013801518
117877315
124756ba6
132b22ca3
141b939ca
151329513
hexd2982e

13801518 has 96 divisors (see below), whose sum is σ = 34572096. Its totient is φ = 3953664.

The previous prime is 13801507. The next prime is 13801523. The reversal of 13801518 is 81510831.

13801518 is a modest number, since divided by 1518 gives 1380 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13801491 and 13801500.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 260380 + ... + 260432.

It is an arithmetic number, because the mean of its divisors is an integer number (360126).

Almost surely, 213801518 is an apocalyptic number.

13801518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13801518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286048).

13801518 is an abundant number, since it is smaller than the sum of its proper divisors (20770578).

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

13801518 is a wasteful number, since it uses less digits than its factorization.

13801518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 13801518 is about 3715.0394345148. The cubic root of 13801518 is about 239.8698252400.

The spelling of 13801518 in words is "thirteen million, eight hundred one thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 17 18 23 34 37 46 51 53 69 74 102 106 111 138 153 159 207 222 306 318 333 391 414 477 629 666 782 851 901 954 1173 1219 1258 1702 1802 1887 1961 2346 2438 2553 2703 3519 3657 3774 3922 5106 5406 5661 5883 7038 7314 7659 8109 10971 11322 11766 14467 15318 16218 17649 20723 21942 28934 33337 35298 41446 43401 45103 62169 66674 86802 90206 100011 124338 130203 135309 186507 200022 260406 270618 300033 373014 405927 600066 766751 811854 1533502 2300253 4600506 6900759 13801518