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1270228320 = 25325882103
BaseRepresentation
bin100101110110110…
…0010010101100000
310021112011021200100
41023231202111200
510100134301240
6330013222400
743322522364
oct11355422540
93245137610
101270228320
115a2013379
122b5491a00
13173212bba
14c09b12a4
15767ade30
hex4bb62560

1270228320 has 72 divisors (see below), whose sum is σ = 4334659056. Its totient is φ = 338727168.

The previous prime is 1270228313. The next prime is 1270228327. The reversal of 1270228320 is 238220721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1270228313) and next prime (1270228327).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12702283202 = 3226959969860044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270228327) 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, 439612 + ... + 442491.

It is an arithmetic number, because the mean of its divisors is an integer number (60203598).

Almost surely, 21270228320 is an apocalyptic number.

1270228320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1270228320 is an abundant number, since it is smaller than the sum of its proper divisors (3064430736).

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

1270228320 is a wasteful number, since it uses less digits than its factorization.

1270228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882124 (or 882113 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1270228320 is about 35640.2626252950. The cubic root of 1270228320 is about 1082.9970252858.

The spelling of 1270228320 in words is "one billion, two hundred seventy million, two hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 882103 1764206 2646309 3528412 4410515 5292618 7056824 7938927 8821030 10585236 13231545 14113648 15877854 17642060 21170472 26463090 28227296 31755708 35284120 39694635 42340944 52926180 63511416 70568240 79389270 84681888 105852360 127022832 141136480 158778540 211704720 254045664 317557080 423409440 635114160 1270228320