Search a number
-
+
640149480 = 2336529757
BaseRepresentation
bin100110001001111…
…110011111101000
31122121112222000000
4212021332133220
52302334240410
6143304343000
721602116005
oct4611763750
91577488000
10640149480
112a9390863
1215a474a60
13a2815499
14610388ac
153b2eddc0
hex2627e7e8

640149480 has 224 divisors, whose sum is σ = 2236933800. Its totient is φ = 164602368.

The previous prime is 640149443. The next prime is 640149481. The reversal of 640149480 is 84941046.

It is a happy number.

640149480 is a `hidden beast` number, since 640 + 1 + 4 + 9 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 546717924 + 93431556 = 23382^2 + 9666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (640149481) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 845262 + ... + 846018.

Almost surely, 2640149480 is an apocalyptic number.

640149480 is a gapful number since it is divisible by the number (60) 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 640149480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118466900).

640149480 is an abundant number, since it is smaller than the sum of its proper divisors (1596784320).

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

640149480 is a wasteful number, since it uses less digits than its factorization.

640149480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 640149480 is about 25301.1754667644. The cubic root of 640149480 is about 861.8409634770.

The spelling of 640149480 in words is "six hundred forty million, one hundred forty-nine thousand, four hundred eighty".