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16000961 = 171496317
BaseRepresentation
bin111101000010…
…011111000001
31010002221012012
4331002133001
513044012321
61330542305
7253002014
oct75023701
933087165
1016000961
119039839
125437995
133413132
1421a737b
15161105b
hexf427c1

16000961 has 8 divisors (see below), whose sum is σ = 17058600. Its totient is φ = 14956288.

The previous prime is 16000937. The next prime is 16000967. The reversal of 16000961 is 16900061.

16000961 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 4 ways, for example, as 1795600 + 14205361 = 1340^2 + 3769^2 .

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-16000961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16000967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626 + ... + 5691.

It is an arithmetic number, because the mean of its divisors is an integer number (2132325).

Almost surely, 216000961 is an apocalyptic number.

It is an amenable number.

16000961 is a deficient number, since it is larger than the sum of its proper divisors (1057639).

16000961 is a wasteful number, since it uses less digits than its factorization.

16000961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 16000961 is about 4000.1201231963. The cubic root of 16000961 is about 251.9892548118.

It can be divided in two parts, 16000 and 961, that added together give a palindrome (16961).

The spelling of 16000961 in words is "sixteen million, nine hundred sixty-one", and thus it is an aban number.

Divisors: 1 17 149 2533 6317 107389 941233 16000961