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90296641 = 891516719
BaseRepresentation
bin1010110000111…
…01000101000001
320021220112201001
411120131011001
5141103443031
612543212001
72144336341
oct530350501
9207815631
1090296641
1146a74226
12262a7001
1315926c86
14bdc6d21
157dd9861
hex561d141

90296641 has 8 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 88677600.

The previous prime is 90296629. The next prime is 90296651. The reversal of 90296641 is 14669209.

90296641 is a nontrivial binomial coefficient, being equal to C(13439, 2).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90296641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90296641.

It is not an unprimeable number, because it can be changed into a prime (90296611) 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, 10080 + ... + 16798.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 290296641 is an apocalyptic number.

90296641 is the 13438-th triangular number.

90296641 is the 4480-th centered nonagonal number.

It is an amenable number.

90296641 is a deficient number, since it is larger than the sum of its proper divisors (1632959).

90296641 is a wasteful number, since it uses less digits than its factorization.

90296641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 90296641 is about 9502.4544723982. The cubic root of 90296641 is about 448.6322933655.

The spelling of 90296641 in words is "ninety million, two hundred ninety-six thousand, six hundred forty-one".

Divisors: 1 89 151 6719 13439 597991 1014569 90296641