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969140640 = 2535133919
BaseRepresentation
bin111001110000111…
…110100110100000
32111112121110000210
4321300332212200
53441100000030
6240100014120
733005362626
oct7160764640
92445543023
10969140640
11458066786
12230691340
13125a24000
14929d7516
155a137bb0
hex39c3e9a0

969140640 has 192 divisors, whose sum is σ = 3310675200. Its totient is φ = 238298112.

The previous prime is 969140621. The next prime is 969140651. The reversal of 969140640 is 46041969.

969140640 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054101 + ... + 1055019.

It is an arithmetic number, because the mean of its divisors is an integer number (17243100).

Almost surely, 2969140640 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 969140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655337600).

969140640 is an abundant number, since it is smaller than the sum of its proper divisors (2341534560).

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

969140640 is a wasteful number, since it uses less digits than its factorization.

969140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 969140640 is about 31131.0237544479. The cubic root of 969140640 is about 989.6058833239.

The spelling of 969140640 in words is "nine hundred sixty-nine million, one hundred forty thousand, six hundred forty".