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9640961 = 1119163283
BaseRepresentation
bin100100110001…
…110000000001
3200010210220122
4210301300001
54432002321
6542350025
7144642521
oct44616001
920123818
109640961
115495440
12328b315
131cc7315
1413cd681
15ca68ab
hex931c01

9640961 has 16 divisors (see below), whose sum is σ = 11178240. Its totient is φ = 8223120.

The previous prime is 9640957. The next prime is 9640973. The reversal of 9640961 is 1690469.

It is a cyclic number.

It is not a de Polignac number, because 9640961 - 22 = 9640957 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9640991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33926 + ... + 34208.

It is an arithmetic number, because the mean of its divisors is an integer number (698640).

Almost surely, 29640961 is an apocalyptic number.

9640961 is the 1793-rd octagonal number.

It is an amenable number.

9640961 is a deficient number, since it is larger than the sum of its proper divisors (1537279).

9640961 is a wasteful number, since it uses less digits than its factorization.

9640961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 9640961 is about 3104.9896940248. The cubic root of 9640961 is about 212.8335596463.

It can be divided in two parts, 9640 and 961, that added together give a palindrome (10601).

The spelling of 9640961 in words is "nine million, six hundred forty thousand, nine hundred sixty-one".

Divisors: 1 11 19 163 209 283 1793 3097 3113 5377 34067 46129 59147 507419 876451 9640961