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1261068660 = 2232514334889
BaseRepresentation
bin100101100101010…
…0110000101110100
310020212220220222200
41023022212011310
510040313144120
6325045024500
743151623005
oct11312460564
93225826880
101261068660
11597927605
122b23b5130
13171356997
14bd6a91ac
1575a9ee90
hex4b2a6174

1261068660 has 72 divisors (see below), whose sum is σ = 3828693960. Its totient is φ = 335981568.

The previous prime is 1261068647. The next prime is 1261068667. The reversal of 1261068660 is 668601621.

It can be written as a sum of positive squares in 4 ways, for example, as 406909584 + 854159076 = 20172^2 + 29226^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261068667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255496 + ... + 260384.

It is an arithmetic number, because the mean of its divisors is an integer number (53176305).

Almost surely, 21261068660 is an apocalyptic number.

1261068660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261068660 is an abundant number, since it is smaller than the sum of its proper divisors (2567625300).

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

1261068660 is a wasteful number, since it uses less digits than its factorization.

1261068660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1261068660 is about 35511.5285505989. The cubic root of 1261068660 is about 1080.3875666633.

The spelling of 1261068660 in words is "one billion, two hundred sixty-one million, sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1433 2866 4299 4889 5732 7165 8598 9778 12897 14330 14667 17196 19556 21495 24445 25794 28660 29334 42990 44001 48890 51588 58668 64485 73335 85980 88002 97780 128970 146670 176004 220005 257940 293340 440010 880020 7005937 14011874 21017811 28023748 35029685 42035622 63053433 70059370 84071244 105089055 126106866 140118740 210178110 252213732 315267165 420356220 630534330 1261068660