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969609696 = 253111019091
BaseRepresentation
bin111001110010110…
…001000111100000
32111120111021110020
4321302301013200
53441210002241
6240114033440
733012355266
oct7162610740
92446437406
10969609696
11458357130
12230878880
13125b59663
1492aba436
155a1cbb66
hex39cb11e0

969609696 has 96 divisors (see below), whose sum is σ = 2804409216. Its totient is φ = 290880000.

The previous prime is 969609677. The next prime is 969609733. The reversal of 969609696 is 696906969.

It is a tau number, because it is divible by the number of its divisors (96).

969609696 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102111 + ... + 111201.

It is an arithmetic number, because the mean of its divisors is an integer number (29212596).

Almost surely, 2969609696 is an apocalyptic number.

969609696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969609696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402204608).

969609696 is an abundant number, since it is smaller than the sum of its proper divisors (1834799520).

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

969609696 is a wasteful number, since it uses less digits than its factorization.

969609696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The square root of 969609696 is about 31138.5564212601. The cubic root of 969609696 is about 989.7655112429.

The spelling of 969609696 in words is "nine hundred sixty-nine million, six hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9091 9696 13332 17776 18182 26664 27273 35552 36364 53328 54546 72728 100001 106656 109092 145456 200002 218184 290912 300003 400004 436368 600006 800008 872736 918191 1200012 1600016 1836382 2400024 2754573 3200032 3672764 4800048 5509146 7345528 9600096 10100101 11018292 14691056 20200202 22036584 29382112 30300303 40400404 44073168 60600606 80800808 88146336 121201212 161601616 242402424 323203232 484804848 969609696