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42131460 = 22357100313
BaseRepresentation
bin1010000010111…
…0000000000100
32221021111111110
42200232000010
541241201320
64103005020
71021053150
oct240560004
987244443
1042131460
1121866a98
1212139770
138961a77
14584a060
153a735e0
hex282e004

42131460 has 48 divisors (see below), whose sum is σ = 134822016. Its totient is φ = 9629952.

The previous prime is 42131431. The next prime is 42131483. The reversal of 42131460 is 6413124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49737 + ... + 50576.

It is an arithmetic number, because the mean of its divisors is an integer number (2808792).

Almost surely, 242131460 is an apocalyptic number.

It is an amenable number.

42131460 is an abundant number, since it is smaller than the sum of its proper divisors (92690556).

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

42131460 is a wasteful number, since it uses less digits than its factorization.

42131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100332 (or 100330 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42131460 is about 6490.8751336010. The cubic root of 42131460 is about 347.9649522109.

Adding to 42131460 its reverse (6413124), we get a palindrome (48544584).

The spelling of 42131460 in words is "forty-two million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 100313 200626 300939 401252 501565 601878 702191 1003130 1203756 1404382 1504695 2006260 2106573 2808764 3009390 3510955 4213146 6018780 7021910 8426292 10532865 14043820 21065730 42131460