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196392320 = 275476529
BaseRepresentation
bin10111011010010…
…11010110000000
3111200112202121122
423231023112000
5400234023240
631253211412
74603210235
oct1355132600
9450482548
10196392320
11a0949503
1255930b68
13318c3197
141c12378c
15123954b5
hexbb4b580

196392320 has 64 divisors (see below), whose sum is σ = 479563200. Its totient is φ = 76873728.

The previous prime is 196392307. The next prime is 196392323. The reversal of 196392320 is 23293691.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196392323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26816 + ... + 33344.

It is an arithmetic number, because the mean of its divisors is an integer number (7493175).

Almost surely, 2196392320 is an apocalyptic number.

196392320 is a gapful number since it is divisible by the number (10) 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 196392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239781600).

196392320 is an abundant number, since it is smaller than the sum of its proper divisors (283170880).

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

196392320 is an equidigital number, since it uses as much as digits as its factorization.

196392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 196392320 is about 14014.0044241466. The cubic root of 196392320 is about 581.2658835602.

The spelling of 196392320 in words is "one hundred ninety-six million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 6529 7520 13058 15040 26116 30080 32645 52232 65290 104464 130580 208928 261160 306863 417856 522320 613726 835712 1044640 1227452 1534315 2089280 2454904 3068630 4178560 4909808 6137260 9819616 12274520 19639232 24549040 39278464 49098080 98196160 196392320