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42202320 = 2435175843
BaseRepresentation
bin1010000011111…
…1010011010000
32221102002200220
42200333103100
541300433240
64104313040
71021466556
oct240772320
987362626
1042202320
1121905256
1212172780
1389880b4
145867bd6
153a895d0
hex283f4d0

42202320 has 40 divisors (see below), whose sum is σ = 130827936. Its totient is φ = 11253888.

The previous prime is 42202297. The next prime is 42202333. The reversal of 42202320 is 2320224.

It is a tau number, because it is divible by the number of its divisors (40).

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 42202320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87682 + ... + 88161.

Almost surely, 242202320 is an apocalyptic number.

42202320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42202320 is an abundant number, since it is smaller than the sum of its proper divisors (88625616).

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

42202320 is a wasteful number, since it uses less digits than its factorization.

42202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175859 (or 175853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42202320 is about 6496.3312723413. The cubic root of 42202320 is about 348.1599212132.

Adding to 42202320 its reverse (2320224), we get a palindrome (44522544).

The spelling of 42202320 in words is "forty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175843 351686 527529 703372 879215 1055058 1406744 1758430 2110116 2637645 2813488 3516860 4220232 5275290 7033720 8440464 10550580 14067440 21101160 42202320