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42171720 = 2335973623
BaseRepresentation
bin1010000011011…
…1110101001000
32221100112201120
42200313311020
541243443340
64103515240
71021311423
oct240676510
987315646
1042171720
1121894268
1212158b20
1389771a6
14585a9ba
153a804d0
hex2837d48

42171720 has 64 divisors (see below), whose sum is σ = 127854720. Its totient is φ = 11126784.

The previous prime is 42171707. The next prime is 42171721. The reversal of 42171720 is 2717124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42171721) 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, 9829 + ... + 13451.

It is an arithmetic number, because the mean of its divisors is an integer number (1997730).

Almost surely, 242171720 is an apocalyptic number.

42171720 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 42171720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63927360).

42171720 is an abundant number, since it is smaller than the sum of its proper divisors (85683000).

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

42171720 is a wasteful number, since it uses less digits than its factorization.

42171720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 42171720 is about 6493.9756698035. The cubic root of 42171720 is about 348.0757530952.

Adding to 42171720 its reverse (2717124), we get a palindrome (44888844).

The spelling of 42171720 in words is "forty-two million, one hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3623 3880 5820 7246 10869 11640 14492 18115 21738 28984 36230 43476 54345 72460 86952 108690 144920 217380 351431 434760 702862 1054293 1405724 1757155 2108586 2811448 3514310 4217172 5271465 7028620 8434344 10542930 14057240 21085860 42171720