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260072106 = 23721675297
BaseRepresentation
bin11111000000001…
…10001010101010
3200010101000212020
433200012022222
51013034301411
641450125310
76305401500
oct1740061252
9603330766
10260072106
11123893028
1273120836
1341b5b028
142677c670
1517c73606
hexf8062aa

260072106 has 48 divisors (see below), whose sum is σ = 608803776. Its totient is φ = 73847424.

The previous prime is 260072089. The next prime is 260072161. The reversal of 260072106 is 601270062.

It is a happy number.

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, 46450 + ... + 51746.

It is an arithmetic number, because the mean of its divisors is an integer number (12683412).

Almost surely, 2260072106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260072106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304401888).

260072106 is an abundant number, since it is smaller than the sum of its proper divisors (348731670).

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

260072106 is a wasteful number, since it uses less digits than its factorization.

260072106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 260072106 is about 16126.7512537399. The cubic root of 260072106 is about 638.3094265934.

The spelling of 260072106 in words is "two hundred sixty million, seventy-two thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 167 294 334 501 1002 1169 2338 3507 5297 7014 8183 10594 15891 16366 24549 31782 37079 49098 74158 111237 222474 259553 519106 778659 884599 1557318 1769198 2653797 5307594 6192193 12384386 18576579 37153158 43345351 86690702 130036053 260072106