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42213560 = 23529151241
BaseRepresentation
bin1010000100001…
…0000010111000
32221102200010012
42201002002320
541301313220
64104441052
71021544414
oct241020270
987380105
1042213560
1121912744
1212179188
13899024c
14586bd44
153a8cac5
hex28420b8

42213560 has 64 divisors (see below), whose sum is σ = 99316800. Its totient is φ = 16128000.

The previous prime is 42213553. The next prime is 42213569. The reversal of 42213560 is 6531224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213569) 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, 175040 + ... + 175280.

It is an arithmetic number, because the mean of its divisors is an integer number (1551825).

Almost surely, 242213560 is an apocalyptic number.

42213560 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 42213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49658400).

42213560 is an abundant number, since it is smaller than the sum of its proper divisors (57103240).

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

42213560 is a wasteful number, since it uses less digits than its factorization.

42213560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42213560 is about 6497.1963184130. The cubic root of 42213560 is about 348.1908276511.

Adding to 42213560 its reverse (6531224), we get a palindrome (48744784).

The spelling of 42213560 in words is "forty-two million, two hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 241 290 302 482 580 604 755 964 1160 1205 1208 1510 1928 2410 3020 4379 4820 6040 6989 8758 9640 13978 17516 21895 27956 34945 35032 36391 43790 55912 69890 72782 87580 139780 145564 175160 181955 279560 291128 363910 727820 1055339 1455640 2110678 4221356 5276695 8442712 10553390 21106780 42213560