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9960327 = 36131051
BaseRepresentation
bin100101111111…
…101110000111
3200202001000000
4211333232013
510022212302
6553252343
7150442566
oct45775607
920661000
109960327
115693383
1234040b3
1320a97b0
141473bdd
15d1b31c
hex97fb87

9960327 has 28 divisors (see below), whose sum is σ = 16097704. Its totient is φ = 6123600.

The previous prime is 9960281. The next prime is 9960337. The reversal of 9960327 is 7230699.

It is not a de Polignac number, because 9960327 - 210 = 9959303 is a prime.

It is a super-2 number, since 2×99603272 = 198416227893858, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9960291 and 9960300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960337) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8952 + ... + 10002.

It is an arithmetic number, because the mean of its divisors is an integer number (574918).

Almost surely, 29960327 is an apocalyptic number.

9960327 is a deficient number, since it is larger than the sum of its proper divisors (6137377).

9960327 is a wasteful number, since it uses less digits than its factorization.

9960327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9960327 is about 3155.9985741442. The cubic root of 9960327 is about 215.1581817717.

The spelling of 9960327 in words is "nine million, nine hundred sixty thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1051 1053 3153 3159 9459 9477 13663 28377 40989 85131 122967 255393 368901 766179 1106703 3320109 9960327