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42001660 = 22537211269
BaseRepresentation
bin1010000000111…
…0010011111100
32221000220110001
42200032103330
541223023120
64100124044
71020002551
oct240162374
987026401
1042001660
1121788518
1212096624
13891796c
145814a28
153a49e0a
hex280e4fc

42001660 has 48 divisors (see below), whose sum is σ = 91355040. Its totient is φ = 16208640.

The previous prime is 42001651. The next prime is 42001667. The reversal of 42001660 is 6610024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001667) 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, 156006 + ... + 156274.

It is an arithmetic number, because the mean of its divisors is an integer number (1903230).

Almost surely, 242001660 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 42001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45677520).

42001660 is an abundant number, since it is smaller than the sum of its proper divisors (49353380).

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

42001660 is a wasteful number, since it uses less digits than its factorization.

42001660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42001660 is about 6480.8687689229. The cubic root of 42001660 is about 347.6072439555.

Adding to 42001660 its reverse (6610024), we get a palindrome (48611684).

The spelling of 42001660 in words is "forty-two million, one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 211 269 370 422 538 740 844 1055 1076 1345 2110 2690 4220 5380 7807 9953 15614 19906 31228 39035 39812 49765 56759 78070 99530 113518 156140 199060 227036 283795 567590 1135180 2100083 4200166 8400332 10500415 21000830 42001660