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13864890 = 2351373487
BaseRepresentation
bin110100111000…
…111110111010
3222002102001110
4310320332322
512022134030
61213101150
7225564264
oct64707672
928072043
1013864890
11790a996
1247877b6
132b45aa0
141bacb34
15133d1b0
hexd38fba

13864890 has 64 divisors (see below), whose sum is σ = 36400896. Its totient is φ = 3359232.

The previous prime is 13864867. The next prime is 13864891. The reversal of 13864890 is 9846831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13864891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28227 + ... + 28713.

It is an arithmetic number, because the mean of its divisors is an integer number (568764).

Almost surely, 213864890 is an apocalyptic number.

13864890 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 13864890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200448).

13864890 is an abundant number, since it is smaller than the sum of its proper divisors (22536006).

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

13864890 is a wasteful number, since it uses less digits than its factorization.

13864890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 13864890 is about 3723.5587815959. The cubic root of 13864890 is about 240.2363990159.

The spelling of 13864890 in words is "thirteen million, eight hundred sixty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 487 730 949 974 1095 1461 1898 2190 2435 2847 2922 4745 4870 5694 6331 7305 9490 12662 14235 14610 18993 28470 31655 35551 37986 63310 71102 94965 106653 177755 189930 213306 355510 462163 533265 924326 1066530 1386489 2310815 2772978 4621630 6932445 13864890