Search a number
-
+
268309060 = 22536173709
BaseRepresentation
bin11111111111000…
…01001001000100
3200200212111211121
433333201021010
51022141342220
642342443324
76435406105
oct1777411104
9620774747
10268309060
111284a9628
1275a33544
1343783276
14278c43ac
151884deaa
hexffe1244

268309060 has 24 divisors (see below), whose sum is σ = 563756760. Its totient is φ = 107265024.

The previous prime is 268309057. The next prime is 268309087. The reversal of 268309060 is 60903862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6646084 + 261662976 = 2578^2 + 16176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70486 + ... + 74194.

It is an arithmetic number, because the mean of its divisors is an integer number (23489865).

Almost surely, 2268309060 is an apocalyptic number.

268309060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268309060 is an abundant number, since it is smaller than the sum of its proper divisors (295447700).

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

268309060 is a wasteful number, since it uses less digits than its factorization.

268309060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7333 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 268309060 is about 16380.1422460246. The cubic root of 268309060 is about 644.9783138754.

The spelling of 268309060 in words is "two hundred sixty-eight million, three hundred nine thousand, sixty".

Divisors: 1 2 4 5 10 20 3617 3709 7234 7418 14468 14836 18085 18545 36170 37090 72340 74180 13415453 26830906 53661812 67077265 134154530 268309060