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969239040 = 29357112149
BaseRepresentation
bin111001110001010…
…110101000000000
32111112210110000020
4321301112220000
53441111122130
6240102053440
733006252540
oct7161265000
92445713006
10969239040
11458123700
1223071a280
13125a59a33
1492a21320
155a156e10
hex39c56a00

969239040 has 480 divisors, whose sum is σ = 3918499200. Its totient is φ = 200048640.

The previous prime is 969239027. The next prime is 969239041. The reversal of 969239040 is 40932969.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 969238983 and 969239001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969239041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504886 + ... + 6505034.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 2969239040 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 969239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959249600).

969239040 is an abundant number, since it is smaller than the sum of its proper divisors (2949260160).

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

969239040 is a wasteful number, since it uses less digits than its factorization.

969239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 969239040 is about 31132.6041313604. The cubic root of 969239040 is about 989.6393748246.

The spelling of 969239040 in words is "nine hundred sixty-nine million, two hundred thirty-nine thousand, forty".