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196688880 = 24325436353
BaseRepresentation
bin10111011100100…
…11101111110000
3111201002211102100
423232103233300
5400323021010
631303420400
74605553653
oct1356235760
9451084370
10196688880
11a10312a3
1255a54700
133199816b
141c19d89a
15124032c0
hexbb93bf0

196688880 has 120 divisors (see below), whose sum is σ = 676014768. Its totient is φ = 51222528.

The previous prime is 196688867. The next prime is 196688909. The reversal of 196688880 is 88886691.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27784 + ... + 34136.

Almost surely, 2196688880 is an apocalyptic number.

196688880 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 196688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338007384).

196688880 is an abundant number, since it is smaller than the sum of its proper divisors (479325888).

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

196688880 is a wasteful number, since it uses less digits than its factorization.

196688880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 196688880 is about 14024.5812771719. The cubic root of 196688880 is about 581.5583144052.

The spelling of 196688880 in words is "one hundred ninety-six million, six hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 6353 7740 10320 12706 15480 19059 25412 30960 31765 38118 50824 57177 63530 76236 95295 101648 114354 127060 152472 190590 228708 254120 273179 285885 304944 381180 457416 508240 546358 571770 762360 819537 914832 1092716 1143540 1365895 1524720 1639074 2185432 2287080 2458611 2731790 3278148 4097685 4370864 4574160 4917222 5463580 6556296 8195370 9834444 10927160 12293055 13112592 16390740 19668888 21854320 24586110 32781480 39337776 49172220 65562960 98344440 196688880