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42043140 = 223251311783
BaseRepresentation
bin1010000001100…
…0011100000100
32221010000100100
42200120130010
541230340030
64101044100
71020234516
oct240303404
987100310
1042043140
11218066a7
12120b6630
1389307c9
145825bb6
153a57360
hex2818704

42043140 has 72 divisors (see below), whose sum is σ = 128576448. Its totient is φ = 11119680.

The previous prime is 42043139. The next prime is 42043201. The reversal of 42043140 is 4134024.

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

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, 22689 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (1785784).

Almost surely, 242043140 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 42043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64288224).

42043140 is an abundant number, since it is smaller than the sum of its proper divisors (86533308).

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

42043140 is a wasteful number, since it uses less digits than its factorization.

42043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42043140 is about 6484.0681674393. The cubic root of 42043140 is about 347.7216362956.

Adding to 42043140 its reverse (4134024), we get a palindrome (46177164).

The spelling of 42043140 in words is "forty-two million, forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1783 1965 2358 2620 3566 3930 4716 5349 5895 7132 7860 8915 10698 11790 16047 17830 21396 23580 26745 32094 35660 53490 64188 80235 106980 160470 233573 320940 467146 700719 934292 1167865 1401438 2102157 2335730 2802876 3503595 4204314 4671460 7007190 8408628 10510785 14014380 21021570 42043140