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42715560 = 23351720939
BaseRepresentation
bin1010001011110…
…0100110101000
32222101011201210
42202330212220
541413344220
64123313120
71026035106
oct242744650
988334653
1042715560
1122125918
121237b7a0
138b078a4
14595cc76
153b3b6e0
hex28bc9a8

42715560 has 64 divisors (see below), whose sum is σ = 135691200. Its totient is φ = 10720256.

The previous prime is 42715559. The next prime is 42715567. The reversal of 42715560 is 6551724.

It is a super-2 number, since 2×427155602 = 3649238132227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42715567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8430 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (2120175).

Almost surely, 242715560 is an apocalyptic number.

42715560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42715560 is an abundant number, since it is smaller than the sum of its proper divisors (92975640).

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

42715560 is a wasteful number, since it uses less digits than its factorization.

42715560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20970 (or 20966 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 42715560 is about 6535.7141920375. The cubic root of 42715560 is about 349.5656107571.

The spelling of 42715560 in words is "forty-two million, seven hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 20939 41878 62817 83756 104695 125634 167512 209390 251268 314085 355963 418780 502536 628170 711926 837560 1067889 1256340 1423852 1779815 2135778 2512680 2847704 3559630 4271556 5339445 7119260 8543112 10678890 14238520 21357780 42715560