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260133412 = 227117910691
BaseRepresentation
bin11111000000101…
…01001000100100
3200010111010221211
433200111020210
51013043232122
641451321204
76306045310
oct1740251044
9603433854
10260133412
111239250a0
1273150204
1341b7cbc6
1426796b40
1517c86877
hexf815224

260133412 has 48 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 100058400.

The previous prime is 260133409. The next prime is 260133413. The reversal of 260133412 is 214331062.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (260133413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18987 + ... + 29677.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2260133412 is an apocalyptic number.

260133412 is a gapful number since it is divisible by the number (22) 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 260133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

260133412 is an abundant number, since it is smaller than the sum of its proper divisors (314668508).

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

260133412 is a wasteful number, since it uses less digits than its factorization.

260133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 260133412 is about 16128.6518965473. The cubic root of 260133412 is about 638.3595782274.

Adding to 260133412 its reverse (214331062), we get a palindrome (474464474).

The spelling of 260133412 in words is "two hundred sixty million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1738 2212 3476 6083 10691 12166 21382 24332 42764 74837 117601 149674 235202 299348 470404 823207 844589 1646414 1689178 3292828 3378356 5912123 9290479 11824246 18580958 23648492 37161916 65033353 130066706 260133412