Search a number
-
+
3127425 = 352722337
BaseRepresentation
bin1011111011100010000001
312212220000120
423323202001
51300034200
6151010453
735403600
oct13734201
95786016
103127425
111846754
121069a29
13856662
145b5a37
1541b9a0
hex2fb881

3127425 has 72 divisors (see below), whose sum is σ = 6446016. Its totient is φ = 1330560.

The previous prime is 3127417. The next prime is 3127429. The reversal of 3127425 is 5247213.

3127425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3127425 - 23 = 3127417 is a prime.

3127425 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3127395 and 3127404.

It is not an unprimeable number, because it can be changed into a prime (3127429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84507 + ... + 84543.

It is an arithmetic number, because the mean of its divisors is an integer number (89528).

Almost surely, 23127425 is an apocalyptic number.

3127425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3127425 is an abundant number, since it is smaller than the sum of its proper divisors (3318591).

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

3127425 is a wasteful number, since it uses less digits than its factorization.

3127425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 3127425 is about 1768.4527135324. The cubic root of 3127425 is about 146.2386944289.

The spelling of 3127425 in words is "three million, one hundred twenty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 37 49 69 75 105 111 115 147 161 175 185 245 259 345 483 525 555 575 735 777 805 851 925 1127 1225 1295 1725 1813 2415 2553 2775 3381 3675 3885 4025 4255 5439 5635 5957 6475 9065 12075 12765 16905 17871 19425 21275 27195 28175 29785 41699 45325 63825 84525 89355 125097 135975 148925 208495 446775 625485 1042475 3127425