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196896840 = 233571571493
BaseRepresentation
bin10111011110001…
…10100001001000
3111201111101200120
423233012201020
5400401144330
631312103240
74610411160
oct1357064110
9451441616
10196896840
11a1163568
1255b34b20
1331a3ba0a
141c2155a0
1512444c10
hexbbc6848

196896840 has 128 divisors (see below), whose sum is σ = 679829760. Its totient is φ = 44688384.

The previous prime is 196896809. The next prime is 196896857. The reversal of 196896840 is 48698691.

It is a happy number.

It is a Smith number, since the sum of its digits (51) 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 31 ways as a sum of consecutive naturals, for example, 131134 + ... + 132626.

It is an arithmetic number, because the mean of its divisors is an integer number (5311170).

Almost surely, 2196896840 is an apocalyptic number.

196896840 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 196896840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339914880).

196896840 is an abundant number, since it is smaller than the sum of its proper divisors (482932920).

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

196896840 is a wasteful number, since it uses less digits than its factorization.

196896840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 196896840 is about 14031.9934435561. The cubic root of 196896840 is about 581.7632035823.

The spelling of 196896840 in words is "one hundred ninety-six million, eight hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 157 168 210 280 314 420 471 628 785 840 942 1099 1256 1493 1570 1884 2198 2355 2986 3140 3297 3768 4396 4479 4710 5495 5972 6280 6594 7465 8792 8958 9420 10451 10990 11944 13188 14930 16485 17916 18840 20902 21980 22395 26376 29860 31353 32970 35832 41804 43960 44790 52255 59720 62706 65940 83608 89580 104510 125412 131880 156765 179160 209020 234401 250824 313530 418040 468802 627060 703203 937604 1172005 1254120 1406406 1640807 1875208 2344010 2812812 3281614 3516015 4688020 4922421 5625624 6563228 7032030 8204035 9376040 9844842 13126456 14064060 16408070 19689684 24612105 28128120 32816140 39379368 49224210 65632280 98448420 196896840