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1334025 = 325272112
BaseRepresentation
bin101000101101100001001
32111202221100
411011230021
5320142100
644332013
714224200
oct5055411
92452840
101334025
11831300
12544009
13379284
1426a237
151b5400
hex145b09

1334025 has 81 divisors (see below), whose sum is σ = 3055143. Its totient is φ = 554400.

The previous prime is 1333999. The next prime is 1334057. The reversal of 1334025 is 5204331.

The square root of 1334025 is 1155.

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., 480249 + 853776 = 693^2 + 924^2 .

It is not a de Polignac number, because 1334025 - 25 = 1333993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1333989 and 1334007.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121270 + ... + 121280.

21334025 is an apocalyptic number.

1334025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1334025 is the 1155-th square number.

1334025 is the 578-th centered octagonal number.

It is an amenable number.

1334025 is an abundant number, since it is smaller than the sum of its proper divisors (1721118).

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

1334025 is a wasteful number, since it uses less digits than its factorization.

1334025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The cubic root of 1334025 is about 110.0832702816.

The spelling of 1334025 in words is "one million, three hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 121 147 165 175 225 231 245 275 315 363 385 441 495 525 539 605 693 735 825 847 1089 1155 1225 1575 1617 1815 1925 2205 2475 2541 2695 3025 3465 3675 4235 4851 5445 5775 5929 7623 8085 9075 11025 12705 13475 17325 17787 21175 24255 27225 29645 38115 40425 53361 63525 88935 121275 148225 190575 266805 444675 1334025