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196753260 = 223511241661
BaseRepresentation
bin10111011101000…
…11011101101100
3111201020002201210
423232203131230
5400332101020
631305034420
74606242444
oct1356433554
9451202653
10196753260
11a1075700
1255a85a10
13319bb562
141c1b9124
15124173e0
hexbba376c

196753260 has 144 divisors (see below), whose sum is σ = 621252576. Its totient is φ = 46464000.

The previous prime is 196753253. The next prime is 196753307. The reversal of 196753260 is 62357691.

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 47 ways as a sum of consecutive naturals, for example, 297330 + ... + 297990.

It is an arithmetic number, because the mean of its divisors is an integer number (4314254).

Almost surely, 2196753260 is an apocalyptic number.

196753260 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 196753260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310626288).

196753260 is an abundant number, since it is smaller than the sum of its proper divisors (424499316).

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

196753260 is a wasteful number, since it uses less digits than its factorization.

196753260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 196753260 is about 14026.8763450741. The cubic root of 196753260 is about 581.6217591713.

The spelling of 196753260 in words is "one hundred ninety-six million, seven hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 121 123 132 164 165 205 220 242 246 330 363 410 451 484 492 605 615 660 661 726 820 902 1210 1230 1322 1353 1452 1804 1815 1983 2255 2420 2460 2644 2706 3305 3630 3966 4510 4961 5412 6610 6765 7260 7271 7932 9020 9915 9922 13220 13530 14542 14883 19830 19844 21813 24805 27060 27101 29084 29766 36355 39660 43626 49610 54202 59532 72710 74415 79981 81303 87252 99220 108404 109065 135505 145420 148830 159962 162606 218130 239943 271010 297660 298111 319924 325212 399905 406515 436260 479886 542020 596222 799810 813030 894333 959772 1192444 1199715 1490555 1599620 1626060 1788666 2399430 2981110 3279221 3577332 4471665 4798860 5962220 6558442 8943330 9837663 13116884 16396105 17886660 19675326 32792210 39350652 49188315 65584420 98376630 196753260