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5675940 = 2233523457
BaseRepresentation
bin10101101001101110100100
3101200100221000
4111221232210
52423112230
6321353300
766146634
oct25515644
911610830
105675940
113227466
121a98830
13123965a
14a7a6c4
15771b60
hex569ba4

5675940 has 96 divisors (see below), whose sum is σ = 18466560. Its totient is φ = 1444608.

The previous prime is 5675933. The next prime is 5675959. The reversal of 5675940 is 495765.

5675940 is a `hidden beast` number, since 5 + 67 + 594 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5675895 and 5675904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12192 + ... + 12648.

It is an arithmetic number, because the mean of its divisors is an integer number (192360).

Almost surely, 25675940 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 5675940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233280).

5675940 is an abundant number, since it is smaller than the sum of its proper divisors (12790620).

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

5675940 is a wasteful number, since it uses less digits than its factorization.

5675940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5675940 is about 2382.4231362208. The cubic root of 5675940 is about 178.3799065091.

The spelling of 5675940 in words is "five million, six hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 457 460 540 621 690 828 914 1035 1242 1371 1380 1828 2070 2285 2484 2742 3105 4113 4140 4570 5484 6210 6855 8226 9140 10511 12339 12420 13710 16452 20565 21022 24678 27420 31533 41130 42044 49356 52555 61695 63066 82260 94599 105110 123390 126132 157665 189198 210220 246780 283797 315330 378396 472995 567594 630660 945990 1135188 1418985 1891980 2837970 5675940