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13890 = 235463
BaseRepresentation
bin11011001000010
3201001110
43121002
5421030
6144150
755332
oct33102
921043
1013890
11a488
128056
136426
1450c2
1541b0
hex3642

13890 has 16 divisors (see below), whose sum is σ = 33408. Its totient is φ = 3696.

The previous prime is 13883. The next prime is 13901. The reversal of 13890 is 9831.

13890 = T51 + T52 + ... + T59.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2088).

213890 is an apocalyptic number.

13890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13890 is an abundant number, since it is smaller than the sum of its proper divisors (19518).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704).

13890 is a wasteful number, since it uses less digits than its factorization.

13890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13890 is about 117.8558441487. The cubic root of 13890 is about 24.0381338212.

It can be divided in two parts, 13 and 890, that added together give a triangular number (903 = T42).

The spelling of 13890 in words is "thirteen thousand, eight hundred ninety".