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10016325 = 3352111971
BaseRepresentation
bin100110001101…
…011001000101
3200211212211000
4212031121011
510031010300
6554403513
7151065054
oct46153105
920755730
1010016325
115721460
123430599
1320c9127
14148a39b
15d2cc00
hex98d645

10016325 has 96 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 4536000.

The previous prime is 10016323. The next prime is 10016329. The reversal of 10016325 is 52361001.

10016325 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 10016325 - 21 = 10016323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10016298 and 10016307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016323) 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 95 ways as a sum of consecutive naturals, for example, 141040 + ... + 141110.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 210016325 is an apocalyptic number.

10016325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10016325 is an abundant number, since it is smaller than the sum of its proper divisors (11410875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10016325 is a wasteful number, since it uses less digits than its factorization.

10016325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10016325 is about 3164.8578167115. The cubic root of 10016325 is about 215.5606424188.

Adding to 10016325 its reverse (52361001), we get a palindrome (62377326).

The spelling of 10016325 in words is "ten million, sixteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 71 75 95 99 135 165 171 209 213 225 275 285 297 355 475 495 513 627 639 675 781 825 855 1045 1065 1349 1425 1485 1775 1881 1917 2343 2475 2565 3135 3195 3905 4047 4275 5225 5325 5643 6745 7029 7425 9405 9585 11715 12141 12825 14839 15675 15975 19525 20235 21087 28215 33725 35145 36423 44517 47025 47925 58575 60705 74195 101175 105435 133551 141075 175725 182115 222585 303525 370975 400653 527175 667755 910575 1112925 2003265 3338775 10016325