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1271890240 = 2653974657
BaseRepresentation
bin100101111001111…
…1000000101000000
310021122021201101221
41023303320011000
510101100441430
6330113004424
743342613545
oct11363700500
93248251357
101271890240
115a2a48a65
122b5b53714
1317367549a
14c0cc4bcc
15769db57a
hex4bcf8140

1271890240 has 28 divisors (see below), whose sum is σ = 3028689396. Its totient is φ = 508755968.

The previous prime is 1271890231. The next prime is 1271890259. The reversal of 1271890240 is 420981721.

It can be written as a sum of positive squares in 2 ways, for example, as 688957504 + 582932736 = 26248^2 + 24144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1271890196 and 1271890205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1987009 + ... + 1987648.

Almost surely, 21271890240 is an apocalyptic number.

1271890240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271890240 is an abundant number, since it is smaller than the sum of its proper divisors (1756799156).

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

1271890240 is an equidigital number, since it uses as much as digits as its factorization.

1271890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974674 (or 3974664 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 1271890240 is about 35663.5702082671. The cubic root of 1271890240 is about 1083.4691372685.

The spelling of 1271890240 in words is "one billion, two hundred seventy-one million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3974657 7949314 15898628 19873285 31797256 39746570 63594512 79493140 127189024 158986280 254378048 317972560 635945120 1271890240