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196861350 = 23527313599
BaseRepresentation
bin10111011101111…
…01110110100110
3111201102121000010
423232331312212
5400344030400
631311231050
74610202540
oct1356756646
9451377003
10196861350
11a1139934
1255b18486
1331a2880a
141c206690
1512439450
hexbbbdda6

196861350 has 96 divisors (see below), whose sum is σ = 560678400. Its totient is φ = 44778240.

The previous prime is 196861339. The next prime is 196861387. The reversal of 196861350 is 53168691.

It is a super-2 number, since 2×1968613502 = 77508782247645000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 196861299 and 196861308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328351 + ... + 328949.

It is an arithmetic number, because the mean of its divisors is an integer number (5840400).

Almost surely, 2196861350 is an apocalyptic number.

196861350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196861350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280339200).

196861350 is an abundant number, since it is smaller than the sum of its proper divisors (363817050).

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

196861350 is a wasteful number, since it uses less digits than its factorization.

196861350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 196861350 is about 14030.7287765105. The cubic root of 196861350 is about 581.7282478550.

The spelling of 196861350 in words is "one hundred ninety-six million, eight hundred sixty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 313 350 525 599 626 939 1050 1198 1565 1797 1878 2191 2995 3130 3594 4193 4382 4695 5990 6573 7825 8386 8985 9390 10955 12579 13146 14975 15650 17970 20965 21910 23475 25158 29950 32865 41930 44925 46950 54775 62895 65730 89850 104825 109550 125790 164325 187487 209650 314475 328650 374974 562461 628950 937435 1124922 1312409 1874870 2624818 2812305 3937227 4687175 5624610 6562045 7874454 9374350 13124090 14061525 19686135 28123050 32810225 39372270 65620450 98430675 196861350