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9960336 = 24322632
BaseRepresentation
bin100101111111…
…101110010000
3200202001000100
4211333232100
510022212321
6553252400
7150442611
oct45775620
920661010
109960336
115693391
123404100
1320a97b9
141473c08
15d1b326
hex97fb90

9960336 has 45 divisors (see below), whose sum is σ = 27981499. Its totient is φ = 3307488.

The previous prime is 9960281. The next prime is 9960337. The reversal of 9960336 is 6330699.

The square root of 9960336 is 3156.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9960336.

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 8 ways as a sum of consecutive naturals, for example, 37741 + ... + 38003.

Almost surely, 29960336 is an apocalyptic number.

9960336 is the 3156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960336

9960336 is an abundant number, since it is smaller than the sum of its proper divisors (18021163).

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

9960336 is a wasteful number, since it uses less digits than its factorization.

9960336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The cubic root of 9960336 is about 215.1582465762.

Multiplying 9960336 by its sum of digits (36), we get a square (358572096 = 189362).

9960336 divided by its sum of digits (36) gives a square (276676 = 5262).

Multiplying 9960336 by its product of nonzero digits (26244), we get a square (261399057984 = 5112722).

It can be divided in two parts, 9960 and 336, that added together give a triangular number (10296 = T143).

The spelling of 9960336 in words is "nine million, nine hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1578 2104 2367 3156 4208 4734 6312 9468 12624 18936 37872 69169 138338 207507 276676 415014 553352 622521 830028 1106704 1245042 1660056 2490084 3320112 4980168 9960336