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1270026225 = 3252131725541
BaseRepresentation
bin100101110110011…
…0000111111110001
310021111210000110100
41023230300333301
510100111314400
6330005023013
743321021236
oct11354607761
93244700410
101270026225
115a1995556
122b53b4a69
13173171c10
14c095b78d
157676e100
hex4bb30ff1

1270026225 has 72 divisors (see below), whose sum is σ = 2593943352. Its totient is φ = 588441600.

The previous prime is 1270026193. The next prime is 1270026229. The reversal of 1270026225 is 5226200721.

It can be written as a sum of positive squares in 12 ways, for example, as 414814689 + 855211536 = 20367^2 + 29244^2 .

It is not a de Polignac number, because 1270026225 - 25 = 1270026193 is a prime.

It is a super-2 number, since 2×12700262252 = 3225933224375501250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270026229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36955 + ... + 62495.

It is an arithmetic number, because the mean of its divisors is an integer number (36026991).

Almost surely, 21270026225 is an apocalyptic number.

1270026225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1270026225 is an abundant number, since it is smaller than the sum of its proper divisors (1323917127).

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

1270026225 is a wasteful number, since it uses less digits than its factorization.

1270026225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25587 (or 25579 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1270026225 is about 35637.4273061342. The cubic root of 1270026225 is about 1082.9395868214.

Adding to 1270026225 its reverse (5226200721), we get a palindrome (6496226946).

The spelling of 1270026225 in words is "one billion, two hundred seventy million, twenty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1989 2925 3315 3825 5525 9945 16575 25541 49725 76623 127705 229869 332033 383115 434197 638525 996099 1149345 1302591 1660165 1915575 2170985 2988297 3907773 4980495 5644561 5746725 6512955 8300825 10854925 14941485 16933683 19538865 24902475 28222805 32564775 50801049 74707425 84668415 97694325 141114025 254005245 423342075 1270026225