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260803116 = 223275411913
BaseRepresentation
bin11111000101110…
…00101000101100
3200011202011121200
433202320220230
51013231144431
641513525500
76314534640
oct1742705054
9604664550
10260803116
11124242272
1273413890
1342055992
14268ccc20
1517d69ee6
hexf8b8a2c

260803116 has 72 divisors (see below), whose sum is σ = 755218464. Its totient is φ = 74338560.

The previous prime is 260803087. The next prime is 260803117. The reversal of 260803116 is 611308062.

260803116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 260803116.

It is not an unprimeable number, because it can be changed into a prime (260803117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135376 + ... + 137288.

Almost surely, 2260803116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260803116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377609232).

260803116 is an abundant number, since it is smaller than the sum of its proper divisors (494415348).

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

260803116 is a wasteful number, since it uses less digits than its factorization.

260803116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 260803116 is about 16149.3998650105. The cubic root of 260803116 is about 638.9069199577.

The spelling of 260803116 in words is "two hundred sixty million, eight hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 541 1082 1623 1913 2164 3246 3787 3826 4869 5739 6492 7574 7652 9738 11361 11478 13391 15148 17217 19476 22722 22956 26782 34083 34434 40173 45444 53564 68166 68868 80346 120519 136332 160692 241038 482076 1034933 2069866 3104799 4139732 6209598 7244531 9314397 12419196 14489062 18628794 21733593 28978124 37257588 43467186 65200779 86934372 130401558 260803116