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196975080 = 233252572129
BaseRepresentation
bin10111011110110…
…01100111101000
3111201122101000100
423233121213220
5400411200310
631313505400
74611155241
oct1357314750
9451571010
10196975080
11a1207325
1255b72260
1331a68503
141c235cc8
151245cec0
hexbbd99e8

196975080 has 96 divisors (see below), whose sum is σ = 642961800. Its totient is φ = 52297728.

The previous prime is 196975069. The next prime is 196975091. The reversal of 196975080 is 80579691.

It is an interprime number because it is at equal distance from previous prime (196975069) and next prime (196975091).

It can be written as a sum of positive squares in 4 ways, for example, as 183710916 + 13264164 = 13554^2 + 3642^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 91456 + ... + 93584.

Almost surely, 2196975080 is an apocalyptic number.

196975080 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 196975080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321480900).

196975080 is an abundant number, since it is smaller than the sum of its proper divisors (445986720).

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

196975080 is a wasteful number, since it uses less digits than its factorization.

196975080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 196975080 is about 14034.7810812994. The cubic root of 196975080 is about 581.8402509089.

The spelling of 196975080 in words is "one hundred ninety-six million, nine hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 257 360 514 771 1028 1285 1542 2056 2129 2313 2570 3084 3855 4258 4626 5140 6168 6387 7710 8516 9252 10280 10645 11565 12774 15420 17032 18504 19161 21290 23130 25548 30840 31935 38322 42580 46260 51096 63870 76644 85160 92520 95805 127740 153288 191610 255480 383220 547153 766440 1094306 1641459 2188612 2735765 3282918 4377224 4924377 5471530 6565836 8207295 9848754 10943060 13131672 16414590 19697508 21886120 24621885 32829180 39395016 49243770 65658360 98487540 196975080