Search a number
-
+
254140020 = 223251411889
BaseRepresentation
bin11110010010111…
…01111001110100
3122201012122120100
433021131321310
51010024440040
641115034100
76204104001
oct1711357164
9581178510
10254140020
11120501182
127113b930
1340861c14
1425a768a8
15174a0b30
hexf25de74

254140020 has 36 divisors (see below), whose sum is σ = 770891940. Its totient is φ = 67770624.

The previous prime is 254140009. The next prime is 254140039. The reversal of 254140020 is 20041452.

It can be written as a sum of positive squares in 2 ways, for example, as 35928036 + 218211984 = 5994^2 + 14772^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 254139975 and 254140002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705765 + ... + 706124.

It is an arithmetic number, because the mean of its divisors is an integer number (21413665).

Almost surely, 2254140020 is an apocalyptic number.

254140020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254140020 is an abundant number, since it is smaller than the sum of its proper divisors (516751920).

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

254140020 is a wasteful number, since it uses less digits than its factorization.

254140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411904 (or 1411899 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 254140020 is about 15941.7696633718. The cubic root of 254140020 is about 633.4189031811.

Adding to 254140020 its reverse (20041452), we get a palindrome (274181472).

The spelling of 254140020 in words is "two hundred fifty-four million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1411889 2823778 4235667 5647556 7059445 8471334 12707001 14118890 16942668 21178335 25414002 28237780 42356670 50828004 63535005 84713340 127070010 254140020