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42214260 = 223511167383
BaseRepresentation
bin1010000100001…
…0001101110100
32221102201002010
42201002031310
541301324020
64104444220
71021546434
oct241021564
987381063
1042214260
1121913220
1212179670
13899066a
14586c2c4
153a8cde0
hex2842374

42214260 has 96 divisors (see below), whose sum is σ = 130056192. Its totient is φ = 10145920.

The previous prime is 42214259. The next prime is 42214267. The reversal of 42214260 is 6241224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110029 + ... + 110411.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 242214260 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 42214260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

42214260 is an abundant number, since it is smaller than the sum of its proper divisors (87841932).

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

42214260 is a wasteful number, since it uses less digits than its factorization.

42214260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42214260 is about 6497.2501875794. The cubic root of 42214260 is about 348.1927522478.

Adding to 42214260 its reverse (6241224), we get a palindrome (48455484).

The spelling of 42214260 in words is "forty-two million, two hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 220 330 334 383 501 660 668 766 835 1002 1149 1532 1670 1837 1915 2004 2298 2505 3340 3674 3830 4213 4596 5010 5511 5745 7348 7660 8426 9185 10020 11022 11490 12639 16852 18370 21065 22044 22980 25278 27555 36740 42130 50556 55110 63195 63961 84260 110220 126390 127922 191883 252780 255844 319805 383766 639610 703571 767532 959415 1279220 1407142 1918830 2110713 2814284 3517855 3837660 4221426 7035710 8442852 10553565 14071420 21107130 42214260