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42323320 = 23513199409
BaseRepresentation
bin1010000101110…
…0110101111000
32221122020200101
42201130311320
541313321240
64111045144
71022512414
oct241346570
987566611
1042323320
1121988156
12122107b4
1389cb1b0
145899d44
153ab039a
hex285cd78

42323320 has 64 divisors (see below), whose sum is σ = 103320000. Its totient is φ = 15510528.

The previous prime is 42323291. The next prime is 42323321. The reversal of 42323320 is 2332324.

42323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42323321) 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 15 ways as a sum of consecutive naturals, for example, 103276 + ... + 103684.

It is an arithmetic number, because the mean of its divisors is an integer number (1614375).

Almost surely, 242323320 is an apocalyptic number.

42323320 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 42323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51660000).

42323320 is an abundant number, since it is smaller than the sum of its proper divisors (60996680).

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

42323320 is a wasteful number, since it uses less digits than its factorization.

42323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 42323320 is about 6505.6375552285. The cubic root of 42323320 is about 348.4923449030.

Adding to 42323320 its reverse (2332324), we get a palindrome (44655644).

The spelling of 42323320 in words is "forty-two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 409 520 796 818 995 1592 1636 1990 2045 2587 3272 3980 4090 5174 5317 7960 8180 10348 10634 12935 16360 20696 21268 25870 26585 42536 51740 53170 81391 103480 106340 162782 212680 325564 406955 651128 813910 1058083 1627820 2116166 3255640 4232332 5290415 8464664 10580830 21161660 42323320