Search a number
-
+
13974660 = 2233573697
BaseRepresentation
bin110101010011…
…110010000100
3222021222122000
4311103302010
512034142120
61215305300
7226532310
oct65236204
928258560
1013974660
117985407
12481b230
132b83a3b
141bdab40
151360990
hexd53c84

13974660 has 96 divisors (see below), whose sum is σ = 49701120. Its totient is φ = 3193344.

The previous prime is 13974601. The next prime is 13974661. The reversal of 13974660 is 6647931.

It is a super-2 number, since 2×139746602 = 390582244231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13974661) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1932 + ... + 5628.

It is an arithmetic number, because the mean of its divisors is an integer number (517720).

Almost surely, 213974660 is an apocalyptic number.

13974660 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 13974660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24850560).

13974660 is an abundant number, since it is smaller than the sum of its proper divisors (35726460).

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

13974660 is a wasteful number, since it uses less digits than its factorization.

13974660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13974660 is about 3738.2696531952. The cubic root of 13974660 is about 240.8687266807.

The spelling of 13974660 in words is "thirteen million, nine hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3697 3780 7394 11091 14788 18485 22182 25879 33273 36970 44364 51758 55455 66546 73940 77637 99819 103516 110910 129395 133092 155274 166365 199638 221820 232911 258790 310548 332730 388185 399276 465822 499095 517580 665460 698733 776370 931644 998190 1164555 1397466 1552740 1996380 2329110 2794932 3493665 4658220 6987330 13974660