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42160080 = 2435971811
BaseRepresentation
bin1010000011010…
…0111111010000
32221022221202110
42200310333100
541243110310
64103345320
71021232454
oct240647720
987287673
1042160080
1121886546
1212152240
138971ac1
145856664
153a7bd20
hex2834fd0

42160080 has 80 divisors (see below), whose sum is σ = 132116544. Its totient is φ = 11120640.

The previous prime is 42160067. The next prime is 42160091. The reversal of 42160080 is 8006124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22375 + ... + 24185.

Almost surely, 242160080 is an apocalyptic number.

42160080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66058272).

42160080 is an abundant number, since it is smaller than the sum of its proper divisors (89956464).

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

42160080 is a wasteful number, since it uses less digits than its factorization.

42160080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42160080 is about 6493.0793927073. The cubic root of 42160080 is about 348.0437255138.

The spelling of 42160080 in words is "forty-two million, one hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1811 1940 2328 2910 3622 3880 4656 5433 5820 7244 7760 9055 10866 11640 14488 18110 21732 23280 27165 28976 36220 43464 54330 72440 86928 108660 144880 175667 217320 351334 434640 527001 702668 878335 1054002 1405336 1756670 2108004 2635005 2810672 3513340 4216008 5270010 7026680 8432016 10540020 14053360 21080040 42160080