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5640120 = 2332515667
BaseRepresentation
bin10101100000111110111000
3101121112210100
4111200332320
52420440440
6320515400
765640333
oct25407670
911545710
105640120
113202562
121a7bb60
131226265
14a6b61a
15766230
hex560fb8

5640120 has 48 divisors (see below), whose sum is σ = 18331560. Its totient is φ = 1503936.

The previous prime is 5640119. The next prime is 5640149. The reversal of 5640120 is 210465.

It is a happy number.

5640120 is a `hidden beast` number, since 5 + 640 + 1 + 20 = 666.

5640120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56401202 = 63621907228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5640093 and 5640102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7474 + ... + 8193.

Almost surely, 25640120 is an apocalyptic number.

It is an amenable number.

5640120 is an abundant number, since it is smaller than the sum of its proper divisors (12691440).

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

5640120 is a wasteful number, since it uses less digits than its factorization.

5640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15684 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5640120 is about 2374.8936818308. The cubic root of 5640120 is about 178.0038714808.

Adding to 5640120 its reverse (210465), we get a palindrome (5850585).

The spelling of 5640120 in words is "five million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 15667 31334 47001 62668 78335 94002 125336 141003 156670 188004 235005 282006 313340 376008 470010 564012 626680 705015 940020 1128024 1410030 1880040 2820060 5640120