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42432180 = 22357313259
BaseRepresentation
bin1010000111011…
…1011010110100
32221211210000020
42201313122310
541330312210
64113245140
71023444660
oct241673264
987753006
1042432180
1121a51a1a
12122637b0
138a388cb
1458c78a0
153ad2770
hex28776b4

42432180 has 96 divisors (see below), whose sum is σ = 140206080. Its totient is φ = 9383040.

The previous prime is 42432167. The next prime is 42432197. The reversal of 42432180 is 8123424.

It is a self number, because there is not a number n which added to its sum of digits gives 42432180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11391 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (1460480).

Almost surely, 242432180 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 42432180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70103040).

42432180 is an abundant number, since it is smaller than the sum of its proper divisors (97773900).

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

42432180 is a wasteful number, since it uses less digits than its factorization.

42432180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42432180 is about 6513.9987718758. The cubic root of 42432180 is about 348.7908753364.

The spelling of 42432180 in words is "forty-two million, four hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 3259 4340 6510 6518 9777 13020 13036 16295 19554 22813 32590 39108 45626 48885 65180 68439 91252 97770 101029 114065 136878 195540 202058 228130 273756 303087 342195 404116 456260 505145 606174 684390 707203 1010290 1212348 1368780 1414406 1515435 2020580 2121609 2828812 3030870 3536015 4243218 6061740 7072030 8486436 10608045 14144060 21216090 42432180