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196628240 = 2452699137
BaseRepresentation
bin10111011100001…
…00111100010000
3111200222202020102
423232010330100
5400314100430
631302231532
74605212114
oct1356047420
9450882212
10196628240
11a0a9a786
1255a255a8
1331976693
141c185744
15123e0345
hexbb84f10

196628240 has 40 divisors (see below), whose sum is σ = 458910360. Its totient is φ = 78350336.

The previous prime is 196628231. The next prime is 196628279. The reversal of 196628240 is 42826691.

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 181387024 = 3904^2 + 13468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 196628194 and 196628203.

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 7 ways as a sum of consecutive naturals, for example, 16952 + ... + 26088.

It is an arithmetic number, because the mean of its divisors is an integer number (11472759).

Almost surely, 2196628240 is an apocalyptic number.

196628240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196628240 is an abundant number, since it is smaller than the sum of its proper divisors (262282120).

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

196628240 is a wasteful number, since it uses less digits than its factorization.

196628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 196628240 is about 14022.4191921366. The cubic root of 196628240 is about 581.4985426462.

The spelling of 196628240 in words is "one hundred ninety-six million, six hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 4304 5380 9137 10760 18274 21520 36548 45685 73096 91370 146192 182740 365480 730960 2457853 4915706 9831412 12289265 19662824 24578530 39325648 49157060 98314120 196628240