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42321780 = 223251911231
BaseRepresentation
bin1010000101110…
…0011101110100
32221122011120100
42201130131310
541313244110
64111034100
71022505054
oct241343564
987564510
1042321780
1121986a86
121220b930
1389ca597
145899564
153aaebc0
hex285c774

42321780 has 72 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 11217600.

The previous prime is 42321767. The next prime is 42321781. The reversal of 42321780 is 8712324.

42321780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423217802 = 3582266124736800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33765 + ... + 34995.

It is an arithmetic number, because the mean of its divisors is an integer number (1793792).

Almost surely, 242321780 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 42321780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

42321780 is an abundant number, since it is smaller than the sum of its proper divisors (86831244).

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

42321780 is a wasteful number, since it uses less digits than its factorization.

42321780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42321780 is about 6505.5191952680. The cubic root of 42321780 is about 348.4881180392.

The spelling of 42321780 in words is "forty-two million, three hundred twenty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1231 1719 1910 2292 2462 2865 3438 3693 3820 4924 5730 6155 6876 7386 8595 11079 11460 12310 14772 17190 18465 22158 24620 34380 36930 44316 55395 73860 110790 221580 235121 470242 705363 940484 1175605 1410726 2116089 2351210 2821452 3526815 4232178 4702420 7053630 8464356 10580445 14107260 21160890 42321780