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191300868 = 2232111014783
BaseRepresentation
bin10110110011100…
…00010100000100
3111022222002110100
423121300110010
5342433111433
630552124100
74512013323
oct1331602404
9438862410
10191300868
1198a911a0
1254096630
133082c8a5
141b59a0ba
1511bdbb13
hexb670504

191300868 has 72 divisors (see below), whose sum is σ = 532861056. Its totient is φ = 57384000.

The previous prime is 191300831. The next prime is 191300897. The reversal of 191300868 is 868003191.

191300868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37605 + ... + 42387.

It is an arithmetic number, because the mean of its divisors is an integer number (7400848).

Almost surely, 2191300868 is an apocalyptic number.

191300868 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 191300868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266430528).

191300868 is an abundant number, since it is smaller than the sum of its proper divisors (341560188).

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

191300868 is a wasteful number, since it uses less digits than its factorization.

191300868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 191300868 is about 13831.1557000852. The cubic root of 191300868 is about 576.1987523026.

The spelling of 191300868 in words is "one hundred ninety-one million, three hundred thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 4783 6666 9566 9999 13332 14349 19132 19998 28698 39996 43047 52613 57396 86094 105226 157839 172188 210452 315678 473517 483083 631356 947034 966166 1449249 1894068 1932332 2898498 4347747 5313913 5796996 8695494 10627826 15941739 17390988 21255652 31883478 47825217 63766956 95650434 191300868