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196960080 = 24351947919
BaseRepresentation
bin10111011110101…
…01111101010000
3111201121121102210
423233111331100
5400410210310
631313312120
74611063432
oct1357257520
9451547383
10196960080
11a11a7029
1255b65640
1331a61735
141c230652
1512458820
hexbbd5f50

196960080 has 160 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 48646656.

The previous prime is 196960013. The next prime is 196960087. The reversal of 196960080 is 80069691.

It is a super-2 number, since 2×1969600802 = 77586546227212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196960087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 213861 + ... + 214779.

It is an arithmetic number, because the mean of its divisors is an integer number (4106880).

Almost surely, 2196960080 is an apocalyptic number.

196960080 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 196960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

196960080 is an abundant number, since it is smaller than the sum of its proper divisors (460140720).

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

196960080 is a wasteful number, since it uses less digits than its factorization.

196960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 196960080 is about 14034.2466844501. The cubic root of 196960080 is about 581.8254811466.

The spelling of 196960080 in words is "one hundred ninety-six million, nine hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 47 48 57 60 76 80 94 95 114 120 141 152 188 190 228 235 240 282 285 304 376 380 456 470 564 570 705 752 760 893 912 919 940 1128 1140 1410 1520 1786 1838 1880 2256 2280 2679 2757 2820 3572 3676 3760 4465 4560 4595 5358 5514 5640 7144 7352 8930 9190 10716 11028 11280 13395 13785 14288 14704 17461 17860 18380 21432 22056 26790 27570 34922 35720 36760 42864 43193 44112 52383 53580 55140 69844 71440 73520 86386 87305 104766 107160 110280 129579 139688 172772 174610 209532 214320 215965 220560 259158 261915 279376 345544 349220 419064 431930 518316 523830 647895 691088 698440 820667 838128 863860 1036632 1047660 1295790 1396880 1641334 1727720 2073264 2095320 2462001 2591580 3282668 3455440 4103335 4190640 4924002 5183160 6565336 8206670 9848004 10366320 12310005 13130672 16413340 19696008 24620010 32826680 39392016 49240020 65653360 98480040 196960080