Search a number
-
+
261142326 = 23331257607
BaseRepresentation
bin11111001000010…
…11011100110110
3200012101101221000
433210023130312
51013323023301
641525104130
76320446614
oct1744133466
9605341830
10261142326
11124454105
1273558046
13421441b3
142697a6b4
1517dd5786
hexf90b736

261142326 has 64 divisors (see below), whose sum is σ = 602357760. Its totient is φ = 83773440.

The previous prime is 261142307. The next prime is 261142363. The reversal of 261142326 is 623241162.

261142326 is a `hidden beast` number, since 2 + 611 + 4 + 23 + 26 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 261142326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429915 + ... + 430521.

It is an arithmetic number, because the mean of its divisors is an integer number (9411840).

Almost surely, 2261142326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261142326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301178880).

261142326 is an abundant number, since it is smaller than the sum of its proper divisors (341215434).

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

261142326 is a wasteful number, since it uses less digits than its factorization.

261142326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 261142326 is about 16159.8987001775. The cubic root of 261142326 is about 639.1837951320.

Adding to 261142326 its reverse (623241162), we get a palindrome (884383488).

The spelling of 261142326 in words is "two hundred sixty-one million, one hundred forty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 257 279 514 558 607 771 837 1214 1542 1674 1821 2313 3642 4626 5463 6939 7967 10926 13878 15934 16389 18817 23901 32778 37634 47802 56451 71703 112902 143406 155999 169353 215109 311998 338706 430218 467997 508059 935994 1016118 1403991 2807982 4211973 4835969 8423946 9671938 14507907 29015814 43523721 87047442 130571163 261142326