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16900961 = 7111032131
BaseRepresentation
bin100000001111…
…0001101100001
31011210122202112
41000132031201
513311312321
61402125105
7263440640
oct100361541
934718675
1016900961
1195a3a40
1257b0795
13366998c
14235d357
15173ca5b
hex101e361

16900961 has 16 divisors (see below), whose sum is σ = 21285888. Its totient is φ = 13035600.

The previous prime is 16900957. The next prime is 16900967.

It is a happy number.

16900961 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16900961 - 22 = 16900957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16900967) 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, 6866 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (1330368).

Almost surely, 216900961 is an apocalyptic number.

16900961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16900961 is a deficient number, since it is larger than the sum of its proper divisors (4384927).

16900961 is a wasteful number, since it uses less digits than its factorization.

16900961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252.

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 16900961 is about 4111.0778392047. The cubic root of 16900961 is about 256.6278584903.

It can be divided in two parts, 16900 and 961, that multiplied together give a square (16240900 = 40302).

The spelling of 16900961 in words is "sixteen million, nine hundred thousand, nine hundred sixty-one".

Divisors: 1 7 11 77 103 721 1133 2131 7931 14917 23441 164087 219493 1536451 2414423 16900961