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9999957 = 311303029
BaseRepresentation
bin100110001001…
…011001010101
3200211001100210
4212021121111
510024444312
6554200033
7150666252
oct46113125
920731323
109999957
115710130
123423019
1320c1846
141484429
15d27e3c
hex989655

9999957 has 8 divisors (see below), whose sum is σ = 14545440. Its totient is φ = 6060560.

The previous prime is 9999943. The next prime is 9999971. The reversal of 9999957 is 7599999.

It is an interprime number because it is at equal distance from previous prime (9999943) and next prime (9999971).

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

It is not a de Polignac number, because 9999957 - 212 = 9995861 is a prime.

9999957 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9999897 and 9999906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999907) 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, 151482 + ... + 151547.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 29999957 is an apocalyptic number.

It is an amenable number.

9999957 is a deficient number, since it is larger than the sum of its proper divisors (4545483).

9999957 is a wasteful number, since it uses less digits than its factorization.

9999957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303043.

The product of its digits is 2066715, while the sum is 57.

The square root of 9999957 is about 3162.2708612641. The cubic root of 9999957 is about 215.4431602004.

The spelling of 9999957 in words is "nine million, nine hundred ninety-nine thousand, nine hundred fifty-seven".

Divisors: 1 3 11 33 303029 909087 3333319 9999957