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16536961 = 72337489
BaseRepresentation
bin111111000101…
…010110000001
31011010011110001
4333011112001
513213140321
61350240001
7260363500
oct77052601
934104401
1016536961
119375511
125656001
1335700ac
1422a6837
1516b9c91
hexfc5581

16536961 has 6 divisors (see below), whose sum is σ = 19236930. Its totient is φ = 14174496.

The previous prime is 16536943. The next prime is 16537013. The reversal of 16536961 is 16963561.

16536961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16483600 + 53361 = 4060^2 + 231^2 .

It is not a de Polignac number, because 16536961 - 25 = 16536929 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 16536961.

It is not an unprimeable number, because it can be changed into a prime (16536911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168696 + ... + 168793.

It is an arithmetic number, because the mean of its divisors is an integer number (3206155).

Almost surely, 216536961 is an apocalyptic number.

It is an amenable number.

16536961 is a deficient number, since it is larger than the sum of its proper divisors (2699969).

16536961 is an equidigital number, since it uses as much as digits as its factorization.

16536961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337503 (or 337496 counting only the distinct ones).

The product of its digits is 29160, while the sum is 37.

The square root of 16536961 is about 4066.5662419294. The cubic root of 16536961 is about 254.7721198815.

The spelling of 16536961 in words is "sixteen million, five hundred thirty-six thousand, nine hundred sixty-one".

Divisors: 1 7 49 337489 2362423 16536961