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8196768 = 253353179
BaseRepresentation
bin11111010001001010100000
3120102102212000
4133101022200
54044244033
6451404000
7126446166
oct37211240
916372760
108196768
114699398
1228b3600
13190cb78
141135236
15abda13
hex7d12a0

8196768 has 96 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 2665728.

The previous prime is 8196757. The next prime is 8196779. The reversal of 8196768 is 8676918.

It is a happy number.

It is a Cunningham number, because it is equal to 28632-1.

It is an interprime number because it is at equal distance from previous prime (8196757) and next prime (8196779).

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

It is an Ulam 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, 45703 + ... + 45881.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 28196768 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 8196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

8196768 is an abundant number, since it is smaller than the sum of its proper divisors (16297632).

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

8196768 is a wasteful number, since it uses less digits than its factorization.

8196768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 8196768 is about 2862.9998253580. Note that the first 3 decimals coincide. The cubic root of 8196768 is about 201.6264704471.

The spelling of 8196768 in words is "eight million, one hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 179 212 216 288 318 358 424 432 477 537 636 716 848 864 954 1074 1272 1431 1432 1611 1696 1908 2148 2544 2862 2864 3222 3816 4296 4833 5088 5724 5728 6444 7632 8592 9487 9666 11448 12888 15264 17184 18974 19332 22896 25776 28461 37948 38664 45792 51552 56922 75896 77328 85383 113844 151792 154656 170766 227688 256149 303584 341532 455376 512298 683064 910752 1024596 1366128 2049192 2732256 4098384 8196768