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261890512 = 24132234211
BaseRepresentation
bin11111001110000…
…10000111010000
3200020210102020121
433213002013100
51014020444022
641553120024
76330014122
oct1747020720
9606712217
10261890512
11124915244
1273859014
1342346900
1426ad3212
1517ed22c7
hexf9c21d0

261890512 has 60 divisors (see below), whose sum is σ = 573472224. Its totient is φ = 115589760.

The previous prime is 261890467. The next prime is 261890513. The reversal of 261890512 is 215098162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261890513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60087 + ... + 64297.

Almost surely, 2261890512 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 261890512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286736112).

261890512 is an abundant number, since it is smaller than the sum of its proper divisors (311581712).

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

261890512 is a wasteful number, since it uses less digits than its factorization.

261890512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 261890512 is about 16183.0316072113. The cubic root of 261890512 is about 639.7936444093.

The spelling of 261890512 in words is "two hundred sixty-one million, eight hundred ninety thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 598 676 1196 1352 2392 2704 3887 4211 4784 7774 8422 15548 16844 31096 33688 54743 62192 67376 96853 109486 193706 218972 387412 437944 711659 774824 875888 1259089 1423318 1549648 2518178 2846636 5036356 5693272 10072712 11386544 16368157 20145424 32736314 65472628 130945256 261890512