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5646480 = 243573361
BaseRepresentation
bin10101100010100010010000
3101121212111220
4111202202100
52421141410
6321005040
765665020
oct25424220
911555456
105646480
113207314
121a83780
131229118
14a6da80
15768070
hex562890

5646480 has 80 divisors (see below), whose sum is σ = 20010624. Its totient is φ = 1290240.

The previous prime is 5646451. The next prime is 5646517. The reversal of 5646480 is 846465.

It is a happy number.

5646480 is a nontrivial binomial coefficient, being equal to C(3361, 2).

It is a tau number, because it is divible by the number of its divisors (80).

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, 1 + ... + 3360.

Almost surely, 25646480 is an apocalyptic number.

5646480 is the 3360-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5646480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005312).

5646480 is an abundant number, since it is smaller than the sum of its proper divisors (14364144).

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

5646480 is a wasteful number, since it uses less digits than its factorization.

5646480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5646480 is about 2376.2323118753. The cubic root of 5646480 is about 178.0707541804.

The spelling of 5646480 in words is "five million, six hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3361 6722 10083 13444 16805 20166 23527 26888 33610 40332 47054 50415 53776 67220 70581 80664 94108 100830 117635 134440 141162 161328 188216 201660 235270 268880 282324 352905 376432 403320 470540 564648 705810 806640 941080 1129296 1411620 1882160 2823240 5646480