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260984025 = 34523592
BaseRepresentation
bin11111000111001…
…00110011011001
3200012002100210000
433203210303121
51013302442100
641521443213
76316220241
oct1743446331
9605070700
10260984025
11124356185
12734a0509
13420ba123
1426938b21
1517da3900
hexf8e4cd9

260984025 has 45 divisors (see below), whose sum is σ = 484782991. Its totient is φ = 138803760.

The previous prime is 260984023. The next prime is 260984039. The reversal of 260984025 is 520489062.

It is a happy number.

The square root of 260984025 is 16155.

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

260984025 is a `hidden beast` number, since 2 + 609 + 8 + 40 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93954249 + 167029776 = 9693^2 + 12924^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 260984025 - 21 = 260984023 is a prime.

It is a super-2 number, since 2×2609840252 = 136225322610401250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260984023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 726796 + ... + 727154.

Almost surely, 2260984025 is an apocalyptic number.

260984025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

260984025 is the 16155-th square number.

260984025 is the 8078-th centered octagonal number.

It is an amenable number.

260984025 is a deficient number, since it is larger than the sum of its proper divisors (223798966).

260984025 is an frugal number, since it uses more digits than its factorization.

260984025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 260984025 is about 639.0546141247.

Multiplying 260984025 by its sum of digits (36), we get a square (9395424900 = 969302).

The spelling of 260984025 in words is "two hundred sixty million, nine hundred eighty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 359 405 675 1077 1795 2025 3231 5385 8975 9693 16155 26925 29079 48465 80775 128881 145395 242325 386643 644405 726975 1159929 1933215 3222025 3479787 5799645 9666075 10439361 17398935 28998225 52196805 86994675 260984025