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5460804 = 223359857
BaseRepresentation
bin10100110101001101000100
3101021102211000
4110311031010
52344221204
6313013300
764262466
oct24651504
911242730
105460804
11309a868
1219b4230
13119275b
14a22136
1572d039
hex535344

5460804 has 48 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1787328.

The previous prime is 5460799. The next prime is 5460811. The reversal of 5460804 is 4080645.

5460804 is a `hidden beast` number, since 54 + 608 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5944 + ... + 6800.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 25460804 is an apocalyptic number.

5460804 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

5460804 is an abundant number, since it is smaller than the sum of its proper divisors (8953596).

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

5460804 is a wasteful number, since it uses less digits than its factorization.

5460804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5460804 is about 2336.8363228947. The cubic root of 5460804 is about 176.0970969051.

The spelling of 5460804 in words is "five million, four hundred sixty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 857 1062 1593 1714 2124 2571 3186 3428 5142 6372 7713 10284 15426 23139 30852 46278 50563 92556 101126 151689 202252 303378 455067 606756 910134 1365201 1820268 2730402 5460804