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13986952 = 2372311151
BaseRepresentation
bin110101010110…
…110010001000
3222022121111021
4311112302020
512040040302
61215442224
7226613200
oct65266210
928277437
1013986952
117993671
124826374
132b89505
141c01400
151364437
hexd56c88

13986952 has 48 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 5796000.

The previous prime is 13986943. The next prime is 13986977. The reversal of 13986952 is 25968931.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13986899 and 13986908.

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 11 ways as a sum of consecutive naturals, for example, 11577 + ... + 12727.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 213986952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13986952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

13986952 is an abundant number, since it is smaller than the sum of its proper divisors (17531768).

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

13986952 is a wasteful number, since it uses less digits than its factorization.

13986952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1191 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 13986952 is about 3739.9133679806. The cubic root of 13986952 is about 240.9393280579.

The spelling of 13986952 in words is "thirteen million, nine hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1151 1519 1736 2302 3038 4604 6076 8057 9208 12152 16114 32228 35681 56399 64456 71362 112798 142724 225596 249767 285448 451192 499534 999068 1748369 1998136 3496738 6993476 13986952