Search a number
-
+
4278920 = 235234651
BaseRepresentation
bin10000010100101010001000
322001101120112
4100110222020
52043411140
6231413452
751240662
oct20245210
98041515
104278920
1124628a8
121524288
13b6a809
147d5532
15597c65
hex414a88

4278920 has 32 divisors (see below), whose sum is σ = 10048320. Its totient is φ = 1636800.

The previous prime is 4278893. The next prime is 4278931. The reversal of 4278920 is 298724.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (314010).

Almost surely, 24278920 is an apocalyptic number.

4278920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4278920 is an abundant number, since it is smaller than the sum of its proper divisors (5769400).

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

4278920 is a wasteful number, since it uses less digits than its factorization.

4278920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4278920 is about 2068.5550512375. Note that the first 3 decimals coincide. The cubic root of 4278920 is about 162.3471699189.

The spelling of 4278920 in words is "four million, two hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 4651 9302 18604 23255 37208 46510 93020 106973 186040 213946 427892 534865 855784 1069730 2139460 4278920