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9680125 = 537132337
BaseRepresentation
bin100100111011…
…010011111101
3200012210122011
4210323103331
54434231000
6543251221
7145164640
oct44732375
920183564
109680125
115511904
1232a9b11
13200c0b0
1413dda57
15cb32ba
hex93b4fd

9680125 has 64 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 5702400.

The previous prime is 9680119. The next prime is 9680129. The reversal of 9680125 is 5210869.

9680125 = T415 + T416 + ... + T505.

9680125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9680125 - 219 = 9155837 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261607 + ... + 261643.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 29680125 is an apocalyptic number.

It is an amenable number.

9680125 is a deficient number, since it is larger than the sum of its proper divisors (6254339).

9680125 is a wasteful number, since it uses less digits than its factorization.

9680125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 9680125 is about 3111.2899254168. The cubic root of 9680125 is about 213.1213647067.

It can be divided in two parts, 9680 and 125, that multiplied together give a square (1210000 = 11002).

The spelling of 9680125 in words is "nine million, six hundred eighty thousand, one hundred twenty-five".

Divisors: 1 5 7 13 23 25 35 37 65 91 115 125 161 175 185 259 299 325 455 481 575 805 851 875 925 1295 1495 1625 2093 2275 2405 2875 3367 4025 4255 4625 5957 6475 7475 10465 11063 11375 12025 16835 20125 21275 29785 32375 37375 52325 55315 60125 77441 84175 106375 148925 261625 276575 387205 420875 744625 1382875 1936025 9680125