Search a number
-
+
770010240 = 27351731761
BaseRepresentation
bin101101111001010…
…110110010000000
31222122220120110210
4231321112302000
53034110311430
6204223554120
725036656546
oct5571266200
91878816423
10770010240
113657180aa
12195a5b940
13c36b277c
147439dd96
15479012b0
hex2de56c80

770010240 has 256 divisors, whose sum is σ = 2686141440. Its totient is φ = 186777600.

The previous prime is 770010229. The next prime is 770010247. The reversal of 770010240 is 42010077.

It is not an unprimeable number, because it can be changed into a prime (770010247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011460 + ... + 1012220.

It is an arithmetic number, because the mean of its divisors is an integer number (10492740).

Almost surely, 2770010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343070720).

770010240 is an abundant number, since it is smaller than the sum of its proper divisors (1916131200).

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

770010240 is a wasteful number, since it uses less digits than its factorization.

770010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 770010240 is about 27749.0583624021. The cubic root of 770010240 is about 916.5697084593.

The spelling of 770010240 in words is "seven hundred seventy million, ten thousand, two hundred forty".