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196010568 = 233213613433
BaseRepresentation
bin10111010111011…
…10001001001000
3111122211100221200
423223232021020
5400134314233
631241104200
74600030245
oct1353561110
9448740850
10196010568
11a0708706
1255788060
13317bb4b0
141c0645cc
151231c313
hexbaee248

196010568 has 96 divisors (see below), whose sum is σ = 581238840. Its totient is φ = 59304960.

The previous prime is 196010537. The next prime is 196010579. The reversal of 196010568 is 865010691.

196010568 is a `hidden beast` number, since 1 + 96 + 0 + 1 + 0 + 568 = 666.

196010568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61496964 + 134513604 = 7842^2 + 11598^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

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, 55380 + ... + 58812.

Almost surely, 2196010568 is an apocalyptic number.

196010568 is a gapful number since it is divisible by the number (18) 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 196010568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290619420).

196010568 is an abundant number, since it is smaller than the sum of its proper divisors (385228272).

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

196010568 is a wasteful number, since it uses less digits than its factorization.

196010568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 196010568 is about 14000.3774234840. The cubic root of 196010568 is about 580.8890131768.

The spelling of 196010568 in words is "one hundred ninety-six million, ten thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 3433 4392 4758 6344 6866 7137 9516 10299 13732 14274 19032 20598 27464 28548 30897 41196 44629 57096 61794 82392 89258 123588 133887 178516 209413 247176 267774 357032 401661 418826 535548 628239 803322 837652 1071096 1256478 1606644 1675304 1884717 2512956 2722369 3213288 3769434 5025912 5444738 7538868 8167107 10889476 15077736 16334214 21778952 24501321 32668428 49002642 65336856 98005284 196010568