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260790201 = 32727692
BaseRepresentation
bin11111000101101…
…01011110111001
3200011201111220100
433202311132321
51013230241301
641513350013
76314452200
oct1742653671
9604644810
10260790201
111242335a1
1273408309
134204cb39
14268c8237
1517d66286
hexf8b57b9

260790201 has 27 divisors (see below), whose sum is σ = 438769071. Its totient is φ = 148829184.

The previous prime is 260790193. The next prime is 260790221. The reversal of 260790201 is 102097062.

The square root of 260790201 is 16149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102030201 + 158760000 = 10101^2 + 12600^2 .

It is not a de Polignac number, because 260790201 - 23 = 260790193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (260790221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338745 + ... + 339513.

Almost surely, 2260790201 is an apocalyptic number.

260790201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

260790201 is the 16149-th square number.

260790201 is the 8075-th centered octagonal number.

It is an amenable number.

260790201 is a deficient number, since it is larger than the sum of its proper divisors (177978870).

260790201 is an frugal number, since it uses more digits than its factorization.

260790201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 260790201 is about 638.8963735358.

The spelling of 260790201 in words is "two hundred sixty million, seven hundred ninety thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 769 2307 5383 6921 16149 37681 48447 113043 339129 591361 1774083 4139527 5322249 12418581 28976689 37255743 86930067 260790201