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196340040 = 233251341953
BaseRepresentation
bin10111011001111…
…10100101001000
3111200110002220100
423230332211020
5400230340130
631252125400
74602601641
oct1354764510
9450402810
10196340040
11a09131a6
1255906860
13318a5450
141c10c6c8
1512384c60
hexbb3e948

196340040 has 96 divisors (see below), whose sum is σ = 687206520. Its totient is φ = 48328704.

The previous prime is 196340003. The next prime is 196340051. The reversal of 196340040 is 40043691.

It can be written as a sum of positive squares in 4 ways, for example, as 108618084 + 87721956 = 10422^2 + 9366^2 .

It is a super-2 number, since 2×1963400402 = 77098822614403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 196339986 and 196340013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16297 + ... + 25656.

Almost surely, 2196340040 is an apocalyptic number.

196340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196340040 is an abundant number, since it is smaller than the sum of its proper divisors (490866480).

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

196340040 is a wasteful number, since it uses less digits than its factorization.

196340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41983 (or 41976 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 196340040 is about 14012.1390230043. The cubic root of 196340040 is about 581.2143009639.

The spelling of 196340040 in words is "one hundred ninety-six million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 41953 83906 125859 167812 209765 251718 335624 377577 419530 503436 545389 629295 755154 839060 1006872 1090778 1258590 1510308 1636167 1678120 1887885 2181556 2517180 2726945 3020616 3272334 3775770 4363112 4908501 5034360 5453890 6544668 7551540 8180835 9817002 10907780 13089336 15103080 16361670 19634004 21815560 24542505 32723340 39268008 49085010 65446680 98170020 196340040