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5679540 = 22325139227
BaseRepresentation
bin10101101010100110110100
3101200112212100
4111222212310
52423221130
6321422100
766163266
oct25524664
911615770
105679540
11322a139
121a9a930
13123b199
14a7bb36
15772c60
hex56a9b4

5679540 has 72 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 1497024.

The previous prime is 5679539. The next prime is 5679559. The reversal of 5679540 is 459765.

5679540 is a `hidden beast` number, since 567 + 95 + 4 + 0 = 666.

It is a super-2 number, since 2×56795402 = 64514349223200, which contains 22 as substring.

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 = 5679495 and 5679504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24907 + ... + 25133.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 25679540 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 5679540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

5679540 is an abundant number, since it is smaller than the sum of its proper divisors (11748780).

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

5679540 is a wasteful number, since it uses less digits than its factorization.

5679540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

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

The square root of 5679540 is about 2383.1785497524. The cubic root of 5679540 is about 178.4176113912.

The spelling of 5679540 in words is "five million, six hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 227 278 417 454 556 681 695 834 908 1135 1251 1362 1390 1668 2043 2085 2270 2502 2724 2780 3405 4086 4170 4540 5004 6255 6810 8172 8340 10215 12510 13620 20430 25020 31553 40860 63106 94659 126212 157765 189318 283977 315530 378636 473295 567954 631060 946590 1135908 1419885 1893180 2839770 5679540