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42122760 = 2335351023
BaseRepresentation
bin1010000010101…
…1111000001000
32221021001120020
42200223320020
541240412020
64102500440
71021015611
oct240537010
987231506
1042122760
11218604a9
1212134720
13895ab14
145846c08
153a70c40
hex282be08

42122760 has 32 divisors (see below), whose sum is σ = 126368640. Its totient is φ = 11232704.

The previous prime is 42122741. The next prime is 42122767. The reversal of 42122760 is 6722124.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42122760.

It is not an unprimeable number, because it can be changed into a prime (42122767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175392 + ... + 175631.

It is an arithmetic number, because the mean of its divisors is an integer number (3949020).

Almost surely, 242122760 is an apocalyptic number.

42122760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42122760 is an abundant number, since it is smaller than the sum of its proper divisors (84245880).

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

42122760 is a wasteful number, since it uses less digits than its factorization.

42122760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351037 (or 351033 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42122760 is about 6490.2049274272. The cubic root of 42122760 is about 347.9409993778.

Adding to 42122760 its reverse (6722124), we get a palindrome (48844884).

The spelling of 42122760 in words is "forty-two million, one hundred twenty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 351023 702046 1053069 1404092 1755115 2106138 2808184 3510230 4212276 5265345 7020460 8424552 10530690 14040920 21061380 42122760