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42413130 = 232517191459
BaseRepresentation
bin1010000111001…
…0110001001010
32221210210212200
42201302301022
541324210010
64113021030
71023335304
oct241626112
987723780
1042413130
1121a39681
1212254776
138a30036
1458c0974
153acbcc0
hex2872c4a

42413130 has 96 divisors (see below), whose sum is σ = 122990400. Its totient is φ = 10077696.

The previous prime is 42413029. The next prime is 42413131. The reversal of 42413130 is 3131424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28341 + ... + 29799.

It is an arithmetic number, because the mean of its divisors is an integer number (1281150).

Almost surely, 242413130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61495200).

42413130 is an abundant number, since it is smaller than the sum of its proper divisors (80577270).

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

42413130 is a wasteful number, since it uses less digits than its factorization.

42413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42413130 is about 6512.5363722593. The cubic root of 42413130 is about 348.7386707693.

Adding to 42413130 its reverse (3131424), we get a palindrome (45544554).

The spelling of 42413130 in words is "forty-two million, four hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1459 1530 1615 1710 1938 2907 2918 3230 4377 4845 5814 7295 8754 9690 13131 14535 14590 21885 24803 26262 27721 29070 43770 49606 55442 65655 74409 83163 124015 131310 138605 148818 166326 223227 248030 249489 277210 372045 415815 446454 471257 498978 744090 831630 942514 1116135 1247445 1413771 2232270 2356285 2494890 2827542 4241313 4712570 7068855 8482626 14137710 21206565 42413130