Search a number
-
+
13863540 = 22351912161
BaseRepresentation
bin110100111000…
…101001110100
3222002100012110
4310320221310
512022113130
61213051020
7225560325
oct64705164
928070173
1013863540
117909979
124786a70
132b452a2
141bac44c
15133cab0
hexd38a74

13863540 has 48 divisors (see below), whose sum is σ = 40864320. Its totient is φ = 3502080.

The previous prime is 13863539. The next prime is 13863569. The reversal of 13863540 is 4536831.

13863540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13863498 and 13863507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4941 + ... + 7220.

It is an arithmetic number, because the mean of its divisors is an integer number (851340).

Almost surely, 213863540 is an apocalyptic number.

13863540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13863540 is an abundant number, since it is smaller than the sum of its proper divisors (27000780).

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

13863540 is a wasteful number, since it uses less digits than its factorization.

13863540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13863540 is about 3723.3774989920. The cubic root of 13863540 is about 240.2286016307.

The spelling of 13863540 in words is "thirteen million, eight hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 12161 24322 36483 48644 60805 72966 121610 145932 182415 231059 243220 364830 462118 693177 729660 924236 1155295 1386354 2310590 2772708 3465885 4621180 6931770 13863540