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13959630 = 23251091423
BaseRepresentation
bin110101010000…
…000111001110
3222021020000100
4311100013032
512033202010
61215111530
7226440426
oct65200716
928236010
1013959630
117975093
1248125a6
132b79c49
141bd5486
15135b2c0
hexd501ce

13959630 has 48 divisors (see below), whose sum is σ = 36653760. Its totient is φ = 3685824.

The previous prime is 13959629. The next prime is 13959653. The reversal of 13959630 is 3695931.

13959630 is a `hidden beast` number, since 1 + 39 + 596 + 30 = 666.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 9099 + ... + 10521.

It is an arithmetic number, because the mean of its divisors is an integer number (763620).

Almost surely, 213959630 is an apocalyptic number.

13959630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13959630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326880).

13959630 is an abundant number, since it is smaller than the sum of its proper divisors (22694130).

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

13959630 is a wasteful number, since it uses less digits than its factorization.

13959630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13959630 is about 3736.2588240110. The cubic root of 13959630 is about 240.7823428111.

It can be divided in two parts, 1395 and 9630, that added together give a square (11025 = 1052).

The spelling of 13959630 in words is "thirteen million, nine hundred fifty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1423 1635 1962 2846 3270 4269 4905 7115 8538 9810 12807 14230 21345 25614 42690 64035 128070 155107 310214 465321 775535 930642 1395963 1551070 2326605 2791926 4653210 6979815 13959630