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13889160 = 2332541941
BaseRepresentation
bin110100111110…
…111010001000
3222010122100100
4310332322020
512023423120
61213405400
7226025115
oct64767210
928118310
1013889160
11792714a
124799860
132b53b4c
141bb790c
151345490
hexd3ee88

13889160 has 96 divisors (see below), whose sum is σ = 46289880. Its totient is φ = 3609600.

The previous prime is 13889159. The next prime is 13889177. The reversal of 13889160 is 6198831.

It can be written as a sum of positive squares in 4 ways, for example, as 8328996 + 5560164 = 2886^2 + 2358^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14290 + ... + 15230.

Almost surely, 213889160 is an apocalyptic number.

13889160 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 13889160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144940).

13889160 is an abundant number, since it is smaller than the sum of its proper divisors (32400720).

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

13889160 is a wasteful number, since it uses less digits than its factorization.

13889160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13889160 is about 3726.8163356946. The cubic root of 13889160 is about 240.3764924139.

It can be divided in two parts, 138 and 89160, that added together give a palindrome (89298).

The spelling of 13889160 in words is "thirteen million, eight hundred eighty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 941 984 1230 1476 1640 1845 1882 2460 2823 2952 3690 3764 4705 4920 5646 7380 7528 8469 9410 11292 14115 14760 16938 18820 22584 28230 33876 37640 38581 42345 56460 67752 77162 84690 112920 115743 154324 169380 192905 231486 308648 338760 347229 385810 462972 578715 694458 771620 925944 1157430 1388916 1543240 1736145 2314860 2777832 3472290 4629720 6944580 13889160