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830953137 = 3739569197
BaseRepresentation
bin110001100001110…
…101011010110001
32010220120210102010
4301201311122301
53200211000022
6214242113133
726406661620
oct6141653261
92126523363
10830953137
11397062433
121b234b7a9
131031cc961
147c5056b7
154ce3d50c
hex318756b1

830953137 has 8 divisors (see below), whose sum is σ = 1266214336. Its totient is φ = 474830352.

The previous prime is 830953129. The next prime is 830953139. The reversal of 830953137 is 731359038.

830953137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 830953137 - 23 = 830953129 is a prime.

It is a super-3 number, since 3×8309531373 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 830953095 and 830953104.

It is not an unprimeable number, because it can be changed into a prime (830953139) 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, 19784578 + ... + 19784619.

It is an arithmetic number, because the mean of its divisors is an integer number (158276792).

Almost surely, 2830953137 is an apocalyptic number.

It is an amenable number.

830953137 is a deficient number, since it is larger than the sum of its proper divisors (435261199).

830953137 is a wasteful number, since it uses less digits than its factorization.

830953137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39569207.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 830953137 is about 28826.2577696100. The cubic root of 830953137 is about 940.1392343173.

The spelling of 830953137 in words is "eight hundred thirty million, nine hundred fifty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 39569197 118707591 276984379 830953137