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42131220 = 2235739619
BaseRepresentation
bin1010000010110…
…1111100010100
32221021111011120
42200231330110
541241144340
64103003540
71021052355
oct240557424
987244146
1042131220
112186689a
12121395b0
138961921
145849d2c
153a734d0
hex282df14

42131220 has 48 divisors (see below), whose sum is σ = 119595840. Its totient is φ = 11079936.

The previous prime is 42131183. The next prime is 42131267. The reversal of 42131220 is 2213124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42131220.

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, 430 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (2491580).

Almost surely, 242131220 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 42131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59797920).

42131220 is an abundant number, since it is smaller than the sum of its proper divisors (77464620).

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

42131220 is a wasteful number, since it uses less digits than its factorization.

42131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42131220 is about 6490.8566460830. The cubic root of 42131220 is about 347.9642914873.

Adding to 42131220 its reverse (2213124), we get a palindrome (44344344).

The spelling of 42131220 in words is "forty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 9619 19238 28857 38476 48095 57714 96190 115428 144285 192380 288570 577140 702187 1404374 2106561 2808748 3510935 4213122 7021870 8426244 10532805 14043740 21065610 42131220