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260906772 = 223721672657
BaseRepresentation
bin11111000110100…
…01111100010100
3200011221102210210
433203101330110
51013243004042
641520045420
76315446100
oct1743217424
9604842723
10260906772
11124303135
1273463870
1342090c09
1426918900
1517d8aa9c
hexf8d1f14

260906772 has 72 divisors (see below), whose sum is σ = 712684224. Its totient is φ = 74070528.

The previous prime is 260906761. The next prime is 260906797. The reversal of 260906772 is 277609062.

260906772 is digitally balanced in base 3, 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 260906772.

It is a congruent 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, 96868 + ... + 99524.

It is an arithmetic number, because the mean of its divisors is an integer number (9898392).

Almost surely, 2260906772 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 260906772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356342112).

260906772 is an abundant number, since it is smaller than the sum of its proper divisors (451777452).

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

260906772 is a wasteful number, since it uses less digits than its factorization.

260906772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 260906772 is about 16152.6088295359. The cubic root of 260906772 is about 638.9915531026.

The spelling of 260906772 in words is "two hundred sixty million, nine hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 294 334 501 588 668 1002 1169 2004 2338 2657 3507 4676 5314 7014 7971 8183 10628 14028 15942 16366 18599 24549 31884 32732 37198 49098 55797 74396 98196 111594 130193 223188 260386 390579 443719 520772 781158 887438 1331157 1562316 1774876 2662314 3106033 5324628 6212066 9318099 12424132 18636198 21742231 37272396 43484462 65226693 86968924 130453386 260906772