Search a number
-
+
261404118 = 2336772251
BaseRepresentation
bin11111001010010…
…11010111010110
3200012212201001000
433211023113112
51013404412433
641534444130
76322620063
oct1745132726
9605781030
10261404118
11124612868
1273663646
13422063c1
1426a07c6a
1517e38113
hexf94b5d6

261404118 has 32 divisors (see below), whose sum is σ = 589576320. Its totient is φ = 85833000.

The previous prime is 261404113. The next prime is 261404119. The reversal of 261404118 is 811404162.

It is a happy number.

261404118 is a `hidden beast` number, since 2 + 614 + 0 + 41 + 1 + 8 = 666.

It is a super-2 number, since 2×2614041182 = 136664225814715848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 261404091 and 261404100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261404113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32508 + ... + 39743.

It is an arithmetic number, because the mean of its divisors is an integer number (18424260).

Almost surely, 2261404118 is an apocalyptic number.

261404118 is an abundant number, since it is smaller than the sum of its proper divisors (328172202).

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

261404118 is a wasteful number, since it uses less digits than its factorization.

261404118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72329 (or 72323 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 261404118 is about 16167.9967219195. The cubic root of 261404118 is about 639.3973151197.

The spelling of 261404118 in words is "two hundred sixty-one million, four hundred four thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 72251 144502 216753 433506 650259 1300518 1950777 3901554 4840817 9681634 14522451 29044902 43567353 87134706 130702059 261404118