Search a number
-
+
42000315 = 3572691487
BaseRepresentation
bin1010000000110…
…1111110111011
32221000211121020
42200031332323
541223002230
64100113523
71016665620
oct240157673
987024536
1042000315
1121787505
12120958a3
138917176
145814347
153a49810
hex280dfbb

42000315 has 32 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 19115904.

The previous prime is 42000289. The next prime is 42000349. The reversal of 42000315 is 51300024.

It is not a de Polignac number, because 42000315 - 28 = 42000059 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 42000294 and 42000303.

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, 27502 + ... + 28988.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 242000315 is an apocalyptic number.

42000315 is a deficient number, since it is larger than the sum of its proper divisors (35137605).

42000315 is a wasteful number, since it uses less digits than its factorization.

42000315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 42000315 is about 6480.7650011399. The cubic root of 42000315 is about 347.6035334931.

Adding to 42000315 its reverse (51300024), we get a palindrome (93300339).

The spelling of 42000315 in words is "forty-two million, three hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 35 105 269 807 1345 1487 1883 4035 4461 5649 7435 9415 10409 22305 28245 31227 52045 156135 400003 1200009 2000015 2800021 6000045 8400063 14000105 42000315