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1290829961 = 19132751197
BaseRepresentation
bin100110011110000…
…1000000010001001
310022221220221211002
41030330020002021
510120423024321
6332030544345
743662605441
oct11474100211
93287827732
101290829961
11602704723
123003680b5
13177577115
14c3615121
15784cd20b
hex4cf08089

1290829961 has 8 divisors (see below), whose sum is σ = 1359818880. Its totient is φ = 1221946128.

The previous prime is 1290829951. The next prime is 1290829963. The reversal of 1290829961 is 1699280921.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1290829961 - 210 = 1290828937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1290829963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 50811.

It is an arithmetic number, because the mean of its divisors is an integer number (169977360).

Almost surely, 21290829961 is an apocalyptic number.

It is an amenable number.

1290829961 is a deficient number, since it is larger than the sum of its proper divisors (68988919).

1290829961 is a wasteful number, since it uses less digits than its factorization.

1290829961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52543.

The product of its (nonzero) digits is 139968, while the sum is 47.

The square root of 1290829961 is about 35928.1221468643. The cubic root of 1290829961 is about 1088.8206420463.

The spelling of 1290829961 in words is "one billion, two hundred ninety million, eight hundred twenty-nine thousand, nine hundred sixty-one".

Divisors: 1 19 1327 25213 51197 972743 67938419 1290829961