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42023310 = 2357972063
BaseRepresentation
bin1010000001001…
…1100110001110
32221002000010220
42200103212032
541224221220
64100412210
71020122640
oct240234616
987060126
1042023310
11217a280a
12120a7066
138924784
14581c890
153a51540
hex281398e

42023310 has 64 divisors (see below), whose sum is σ = 116508672. Its totient is φ = 9501696.

The previous prime is 42023309. The next prime is 42023347. The reversal of 42023310 is 1332024.

It is a super-2 number, since 2×420233102 = 3531917166712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42023310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19339 + ... + 21401.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448).

Almost surely, 242023310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254336).

42023310 is an abundant number, since it is smaller than the sum of its proper divisors (74485362).

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

42023310 is a wasteful number, since it uses less digits than its factorization.

42023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42023310 is about 6482.5388544921. The cubic root of 42023310 is about 347.6669590885. Note that the first 3 decimals are identical.

Adding to 42023310 its reverse (1332024), we get a palindrome (43355334).

The spelling of 42023310 in words is "forty-two million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 970 1358 1455 2037 2063 2910 3395 4074 4126 6189 6790 10185 10315 12378 14441 20370 20630 28882 30945 43323 61890 72205 86646 144410 200111 216615 400222 433230 600333 1000555 1200666 1400777 2001110 2801554 3001665 4202331 6003330 7003885 8404662 14007770 21011655 42023310