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13947640 = 2357109457
BaseRepresentation
bin110101001101…
…001011111000
3222020121120021
4311031023320
512032311030
61214540224
7226360450
oct65151370
928217507
1013947640
117967083
124807674
132b74655
141bd0d60
15135797a
hexd4d2f8

13947640 has 64 divisors (see below), whose sum is σ = 36273600. Its totient is φ = 4727808.

The previous prime is 13947629. The next prime is 13947641. The reversal of 13947640 is 4674931.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13947596 and 13947605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13947641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30292 + ... + 30748.

It is an arithmetic number, because the mean of its divisors is an integer number (566775).

Almost surely, 213947640 is an apocalyptic number.

13947640 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 13947640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136800).

13947640 is an abundant number, since it is smaller than the sum of its proper divisors (22325960).

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

13947640 is a wasteful number, since it uses less digits than its factorization.

13947640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 13947640 is about 3734.6539330974. The cubic root of 13947640 is about 240.7133866561.

The spelling of 13947640 in words is "thirteen million, nine hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 457 545 763 872 914 1090 1526 1828 2180 2285 3052 3199 3656 3815 4360 4570 6104 6398 7630 9140 12796 15260 15995 18280 25592 30520 31990 49813 63980 99626 127960 199252 249065 348691 398504 498130 697382 996260 1394764 1743455 1992520 2789528 3486910 6973820 13947640