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9696000 = 28353101
BaseRepresentation
bin100100111111…
…001100000000
3200020121102010
4210333030000
54440233000
6543452520
7145262136
oct44771400
920217363
109696000
115522826
1232b7140
1320163a2
141405756
15cb7d50
hex93f300

9696000 has 144 divisors (see below), whose sum is σ = 32524128. Its totient is φ = 2560000.

The previous prime is 9695993. The next prime is 9696007. The reversal of 9696000 is 6969.

It is an interprime number because it is at equal distance from previous prime (9695993) and next prime (9696007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9696007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95950 + ... + 96050.

It is an arithmetic number, because the mean of its divisors is an integer number (225862).

Almost surely, 29696000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262064).

9696000 is an abundant number, since it is smaller than the sum of its proper divisors (22828128).

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

9696000 is a wasteful number, since it uses less digits than its factorization.

9696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9696000 is about 3113.8400729646. The cubic root of 9696000 is about 213.2378044516.

The spelling of 9696000 in words is "nine million, six hundred ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 101 120 125 128 150 160 192 200 202 240 250 256 300 303 320 375 384 400 404 480 500 505 600 606 640 750 768 800 808 960 1000 1010 1200 1212 1280 1500 1515 1600 1616 1920 2000 2020 2400 2424 2525 3000 3030 3200 3232 3840 4000 4040 4800 4848 5050 6000 6060 6400 6464 7575 8000 8080 9600 9696 10100 12000 12120 12625 12928 15150 16000 16160 19200 19392 20200 24000 24240 25250 25856 30300 32000 32320 37875 38784 40400 48000 48480 50500 60600 64640 75750 77568 80800 96000 96960 101000 121200 129280 151500 161600 193920 202000 242400 303000 323200 387840 404000 484800 606000 646400 808000 969600 1212000 1616000 1939200 2424000 3232000 4848000 9696000