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422760 = 233513271
BaseRepresentation
bin1100111001101101000
3210110220210
41213031220
5102012020
613021120
73410352
oct1471550
9713823
10422760
11269698
121847a0
1311a570
14b00d2
15853e0
hex67368

422760 has 64 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 103680.

The previous prime is 422759. The next prime is 422761. The reversal of 422760 is 67224.

422760 = T80 + T81 + ... + T144.

It is a happy number.

422760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (422759) and next prime (422761).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422760.

It is not an unprimeable number, because it can be changed into a prime (422761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2422760 is an apocalyptic number.

422760 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 422760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

422760 is an abundant number, since it is smaller than the sum of its proper divisors (948120).

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

422760 is a wasteful number, since it uses less digits than its factorization.

422760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 422760 is about 650.1999692402. The cubic root of 422760 is about 75.0524078149.

Adding to 422760 its reverse (67224), we get a palindrome (489984).

The spelling of 422760 in words is "four hundred twenty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 271 312 390 520 542 780 813 1084 1355 1560 1626 2168 2710 3252 3523 4065 5420 6504 7046 8130 10569 10840 14092 16260 17615 21138 28184 32520 35230 42276 52845 70460 84552 105690 140920 211380 422760