Search a number
-
+
261164470 = 257113137241
BaseRepresentation
bin11111001000100…
…00110110110110
3200012102112022011
433210100312312
51013324230340
641525354434
76320601310
oct1744206666
9605375264
10261164470
11124469806
1273568a1a
13421512b8
14269847b0
1517ddc0ea
hexf910db6

261164470 has 64 divisors (see below), whose sum is σ = 548228736. Its totient is φ = 87736320.

The previous prime is 261164419. The next prime is 261164473. The reversal of 261164470 is 74461162.

261164470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261164473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083550 + ... + 1083790.

It is an arithmetic number, because the mean of its divisors is an integer number (8566074).

Almost surely, 2261164470 is an apocalyptic number.

261164470 is an abundant number, since it is smaller than the sum of its proper divisors (287064266).

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

261164470 is a wasteful number, since it uses less digits than its factorization.

261164470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 261164470 is about 16160.5838384633. The cubic root of 261164470 is about 639.2018615074.

It can be divided in two parts, 2611 and 64470, that added together give a square (67081 = 2592).

The spelling of 261164470 in words is "two hundred sixty-one million, one hundred sixty-four thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 35 70 113 137 226 241 274 482 565 685 791 959 1130 1205 1370 1582 1687 1918 2410 3374 3955 4795 7910 8435 9590 15481 16870 27233 30962 33017 54466 66034 77405 108367 136165 154810 165085 190631 216734 231119 272330 330170 381262 462238 541835 953155 1083670 1155595 1906310 2311190 3730921 7461842 18654605 26116447 37309210 52232894 130582235 261164470