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1271055680 = 26519932
BaseRepresentation
bin100101111000010…
…1100010101000000
310021120201022121022
41023300230111000
510100342240210
6330043045012
743332536456
oct11360542500
93246638538
101271055680
115a2528a44
122b5810768
1317344266b
14c0b489d6
15768c4155
hex4bc2c540

1271055680 has 42 divisors (see below), whose sum is σ = 3028220766. Its totient is φ = 508167168.

The previous prime is 1271055661. The next prime is 1271055697. The reversal of 1271055680 is 865501721.

It can be written as a sum of positive squares in 3 ways, for example, as 361912576 + 909143104 = 19024^2 + 30152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1271055680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 636764 + ... + 638756.

Almost surely, 21271055680 is an apocalyptic number.

1271055680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271055680 is an abundant number, since it is smaller than the sum of its proper divisors (1757165086).

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

1271055680 is an frugal number, since it uses more digits than its factorization.

1271055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1271055680 is about 35651.8678332566. The cubic root of 1271055680 is about 1083.2321100426.

The spelling of 1271055680 in words is "one billion, two hundred seventy-one million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1993 3986 7972 9965 15944 19930 31888 39860 63776 79720 127552 159440 318880 637760 3972049 7944098 15888196 19860245 31776392 39720490 63552784 79440980 127105568 158881960 254211136 317763920 635527840 1271055680