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196068096 = 2832712157
BaseRepresentation
bin10111010111111…
…00001100000000
3111122221021212100
423223330030000
5400143134341
631242230400
74600360050
oct1353741400
9448837770
10196068096
11a0747954
12557b5400
133180b733
141c07b560
151232e3b6
hexbafc300

196068096 has 108 divisors (see below), whose sum is σ = 646124752. Its totient is φ = 56014848.

The previous prime is 196068083. The next prime is 196068139. The reversal of 196068096 is 690860691.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10050 + ... + 22206.

Almost surely, 2196068096 is an apocalyptic number.

196068096 is a gapful number since it is divisible by the number (16) 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 196068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323062376).

196068096 is an abundant number, since it is smaller than the sum of its proper divisors (450056656).

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

196068096 is a wasteful number, since it uses less digits than its factorization.

196068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 196068096 is about 14002.4317888001. The cubic root of 196068096 is about 580.9458368382.

The spelling of 196068096 in words is "one hundred ninety-six million, sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 12157 16128 24314 36471 48628 72942 85099 97256 109413 145884 170198 194512 218826 255297 291768 340396 389024 437652 510594 583536 680792 765891 778048 875304 1021188 1167072 1361584 1531782 1556096 1750608 2042376 2334144 2723168 3063564 3112192 3501216 4084752 4668288 5446336 6127128 7002432 8169504 9336576 10892672 12254256 14004864 16339008 21785344 24508512 28009728 32678016 49017024 65356032 98034048 196068096