Search a number
-
+
1285714080 = 253357174161
BaseRepresentation
bin100110010100010…
…0111000010100000
310022121022001011000
41030220213002200
510113120322310
6331325152000
743601250360
oct11450470240
93277261130
101285714080
115aa830022
122ba6bb600
131764a5681
14c2a829a0
1577d1c4c0
hex4ca270a0

1285714080 has 768 divisors, whose sum is σ = 5669637120. Its totient is φ = 265420800.

The previous prime is 1285714051. The next prime is 1285714081. The reversal of 1285714080 is 804175821.

1285714080 is a `hidden beast` number, since 1 + 2 + 8 + 571 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285714081) 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 127 ways as a sum of consecutive naturals, for example, 21077250 + ... + 21077310.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 21285714080 is an apocalyptic number.

1285714080 is a gapful number since it is divisible by the number (10) 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 1285714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

1285714080 is an abundant number, since it is smaller than the sum of its proper divisors (4383923040).

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

1285714080 is a wasteful number, since it uses less digits than its factorization.

1285714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1285714080 is about 35856.8554114830. The cubic root of 1285714080 is about 1087.3803150093.

It can be divided in two parts, 128571 and 4080, that added together give a cube (132651 = 513).

The spelling of 1285714080 in words is "one billion, two hundred eighty-five million, seven hundred fourteen thousand, eighty".