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1270085220 = 223257056029
BaseRepresentation
bin100101110110011…
…1111011001100100
310021111220000101100
41023230333121210
510100120211340
6330010200100
743321355235
oct11354773144
93244800340
101270085220
115a1a25908
122b5423030
13173192a21
14c097508c
1576781830
hex4bb3f664

1270085220 has 36 divisors (see below), whose sum is σ = 3852592380. Its totient is φ = 338689344.

The previous prime is 1270085213. The next prime is 1270085227. The reversal of 1270085220 is 225800721.

It is an interprime number because it is at equal distance from previous prime (1270085213) and next prime (1270085227).

It can be written as a sum of positive squares in 2 ways, for example, as 859779684 + 410305536 = 29322^2 + 20256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12700852202 = 3226232932124896800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1270085227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3527835 + ... + 3528194.

It is an arithmetic number, because the mean of its divisors is an integer number (107016455).

Almost surely, 21270085220 is an apocalyptic number.

1270085220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1270085220 is an abundant number, since it is smaller than the sum of its proper divisors (2582507160).

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

1270085220 is a wasteful number, since it uses less digits than its factorization.

1270085220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056044 (or 7056039 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1270085220 is about 35638.2550077862. The cubic root of 1270085220 is about 1082.9563547250.

Adding to 1270085220 its reverse (225800721), we get a palindrome (1495885941).

The spelling of 1270085220 in words is "one billion, two hundred seventy million, eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7056029 14112058 21168087 28224116 35280145 42336174 63504261 70560290 84672348 105840435 127008522 141120580 211680870 254017044 317521305 423361740 635042610 1270085220