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1271228660 = 2251338912569
BaseRepresentation
bin100101111000101…
…0110100011110100
310021121001002212222
41023301112203310
510100413304120
6330050501512
743334160002
oct11361264364
93247032788
101271228660
115a26369a9
122b5894898
131734a3310
14c0b91a72
157690a525
hex4bc568f4

1271228660 has 48 divisors (see below), whose sum is σ = 2882552400. Its totient is φ = 468132864.

The previous prime is 1271228507. The next prime is 1271228677. The reversal of 1271228660 is 668221721.

It can be written as a sum of positive squares in 8 ways, for example, as 4153444 + 1267075216 = 2038^2 + 35596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1271228660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94856 + ... + 107424.

It is an arithmetic number, because the mean of its divisors is an integer number (60053175).

Almost surely, 21271228660 is an apocalyptic number.

1271228660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1271228660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441276200).

1271228660 is an abundant number, since it is smaller than the sum of its proper divisors (1611323740).

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

1271228660 is a wasteful number, since it uses less digits than its factorization.

1271228660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12980 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1271228660 is about 35654.2937105757. The cubic root of 1271228660 is about 1083.2812474103.

The spelling of 1271228660 in words is "one billion, two hundred seventy-one million, two hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 389 778 1556 1945 3890 5057 7780 10114 12569 20228 25138 25285 50276 50570 62845 101140 125690 163397 251380 326794 653588 816985 1633970 3267940 4889341 9778682 19557364 24446705 48893410 63561433 97786820 127122866 254245732 317807165 635614330 1271228660