Search a number
-
+
869165640 = 233457192017
BaseRepresentation
bin110011110011100…
…110101001001000
32020120111012010000
4303303212221020
53240001300030
6222125123000
730352533420
oct6363465110
92216435100
10869165640
11406692012
122030b9460
1310b0bb9c5
1483611480
155148a860
hex33ce6a48

869165640 has 320 divisors, whose sum is σ = 3516163200. Its totient is φ = 188116992.

The previous prime is 869165629. The next prime is 869165707. The reversal of 869165640 is 46561968.

869165640 is a `hidden beast` number, since 86 + 9 + 1 + 6 + 564 + 0 = 666.

869165640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 429912 + ... + 431928.

It is an arithmetic number, because the mean of its divisors is an integer number (10988010).

Almost surely, 2869165640 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 869165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758081600).

869165640 is an abundant number, since it is smaller than the sum of its proper divisors (2646997560).

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

869165640 is a wasteful number, since it uses less digits than its factorization.

869165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 869165640 is about 29481.6152881758. The cubic root of 869165640 is about 954.3349956792.

The spelling of 869165640 in words is "eight hundred sixty-nine million, one hundred sixty-five thousand, six hundred forty".