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5460 = 2235713
BaseRepresentation
bin1010101010100
321111020
41111110
5133320
641140
721630
oct12524
97436
105460
114114
1231b0
132640
141dc0
151940
hex1554

5460 has 48 divisors (see below), whose sum is σ = 18816. Its totient is φ = 1152.

The previous prime is 5449. The next prime is 5471. The reversal of 5460 is 645.

Subtracting from 5460 its sum of digits (15), we obtain a palindrome (5445).

Adding to 5460 its reverse (645), we get a triangular number (6105 = T110).

It can be divided in two parts, 54 and 60, that multiplied together give a triangular number (3240 = T80).

5460 is nontrivially palindromic in base 11.

5460 is a nontrivial binomial coefficient, being equal to C(105, 2).

It is an interprime number because it is at equal distance from previous prime (5449) and next prime (5471).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5460.

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, 414 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (392).

25460 is an apocalyptic number.

5460 is the 104-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408).

5460 is an abundant number, since it is smaller than the sum of its proper divisors (13356).

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

5460 is a wasteful number, since it uses less digits than its factorization.

5460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5460 is about 73.8918128076. The cubic root of 5460 is about 17.6088454160.

The spelling of 5460 in words is "five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460