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13873986 = 2327149739
BaseRepresentation
bin110100111011…
…001101000010
3222002212112100
4310323031002
512022431421
61213211230
7225632640
oct64731502
928085470
1013873986
117916805
124790b16
132b49c79
141bb2190
151340c26
hexd3b342

13873986 has 48 divisors (see below), whose sum is σ = 34632000. Its totient is φ = 3932064.

The previous prime is 13873967. The next prime is 13873987. The reversal of 13873986 is 68937831.

It is a happy number.

13873986 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

13873986 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13873987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18405 + ... + 19143.

It is an arithmetic number, because the mean of its divisors is an integer number (721500).

Almost surely, 213873986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316000).

13873986 is an abundant number, since it is smaller than the sum of its proper divisors (20758014).

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

13873986 is a wasteful number, since it uses less digits than its factorization.

13873986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 900 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13873986 is about 3724.7799935030. The cubic root of 13873986 is about 240.2889228753.

The spelling of 13873986 in words is "thirteen million, eight hundred seventy-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 739 894 1043 1341 1478 2086 2217 2682 3129 4434 5173 6258 6651 9387 10346 13302 15519 18774 31038 46557 93114 110111 220222 330333 660666 770777 990999 1541554 1981998 2312331 4624662 6936993 13873986