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13936890 = 23511157269
BaseRepresentation
bin110101001010…
…100011111010
3222020001211010
4311022203322
512031440030
61214414350
7226314222
oct65124372
928201733
1013936890
117959aa0
1248013b6
132b6c7a6
141bcb082
1513546b0
hexd4a8fa

13936890 has 64 divisors (see below), whose sum is σ = 36858240. Its totient is φ = 3344640.

The previous prime is 13936883. The next prime is 13936891. The reversal of 13936890 is 9863931.

It is not an unprimeable number, because it can be changed into a prime (13936891) 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 31 ways as a sum of consecutive naturals, for example, 51676 + ... + 51944.

It is an arithmetic number, because the mean of its divisors is an integer number (575910).

Almost surely, 213936890 is an apocalyptic number.

13936890 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 13936890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429120).

13936890 is an abundant number, since it is smaller than the sum of its proper divisors (22921350).

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

13936890 is a wasteful number, since it uses less digits than its factorization.

13936890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 13936890 is about 3733.2144326304. The cubic root of 13936890 is about 240.6515283059.

The spelling of 13936890 in words is "thirteen million, nine hundred thirty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 269 314 330 471 538 785 807 942 1345 1570 1614 1727 2355 2690 2959 3454 4035 4710 5181 5918 8070 8635 8877 10362 14795 17270 17754 25905 29590 42233 44385 51810 84466 88770 126699 211165 253398 422330 464563 633495 929126 1266990 1393689 2322815 2787378 4645630 6968445 13936890