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5476640 = 255132633
BaseRepresentation
bin10100111001000100100000
3101022020112112
4110321010200
52400223030
6313214452
764356611
oct24710440
911266475
105476640
113100754
121a01428
131199a20
14a27c08
15732a95
hex539120

5476640 has 48 divisors (see below), whose sum is σ = 13939128. Its totient is φ = 2021376.

The previous prime is 5476633. The next prime is 5476663. The reversal of 5476640 is 466745.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 3055504 = 1556^2 + 1748^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5476597 and 5476606.

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, 764 + ... + 3396.

Almost surely, 25476640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969564).

5476640 is an abundant number, since it is smaller than the sum of its proper divisors (8462488).

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

5476640 is a wasteful number, since it uses less digits than its factorization.

5476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 5476640 is about 2340.2222116714. Note that the first 4 decimals coincide. The cubic root of 5476640 is about 176.2671562529.

It can be divided in two parts, 5476 and 640, that added together give a palindrome (6116).

The spelling of 5476640 in words is "five million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2633 5266 10532 13165 21064 26330 34229 42128 52660 68458 84256 105320 136916 171145 210640 273832 342290 421280 547664 684580 1095328 1369160 2738320 5476640