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5642460 = 2238543
BaseRepresentation
bin10101100001100011011100
3101121200000000
4111201203130
52421024320
6320534300
765650215
oct25414334
911550000
105642460
11320429a
121a81390
131227345
14a6c40c
15766c90
hex5618dc

5642460 has 108 divisors (see below), whose sum is σ = 18186168. Its totient is φ = 1469664.

The previous prime is 5642459. The next prime is 5642477. The reversal of 5642460 is 642465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131199 + ... + 131241.

Almost surely, 25642460 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 5642460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9093084).

5642460 is an abundant number, since it is smaller than the sum of its proper divisors (12543708).

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

5642460 is an equidigital number, since it uses as much as digits as its factorization.

5642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5642460 is about 2375.3862843757. The cubic root of 5642460 is about 178.0284851101.

The spelling of 5642460 in words is "five million, six hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 729 774 810 860 972 1161 1215 1290 1458 1548 1620 1935 2187 2322 2430 2580 2916 3483 3645 3870 4374 4644 4860 5805 6561 6966 7290 7740 8748 10449 10935 11610 13122 13932 14580 17415 20898 21870 23220 26244 31347 32805 34830 41796 43740 52245 62694 65610 69660 94041 104490 125388 131220 156735 188082 208980 282123 313470 376164 470205 564246 626940 940410 1128492 1410615 1880820 2821230 5642460