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1361064660 = 22351031131949
BaseRepresentation
bin101000100100000…
…0011001011010100
310111212002020201020
41101020003023110
510241413032120
6343020201140
745504600354
oct12110031324
93455066636
101361064660
1163931602a
1231b9991b0
13188c98707
14cca98b64
157e753640
hex512032d4

1361064660 has 96 divisors (see below), whose sum is σ = 3884025600. Its totient is φ = 356063232.

The previous prime is 1361064643. The next prime is 1361064689. The reversal of 1361064660 is 664601631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697366 + ... + 699314.

It is an arithmetic number, because the mean of its divisors is an integer number (40458600).

Almost surely, 21361064660 is an apocalyptic number.

1361064660 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 1361064660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942012800).

1361064660 is an abundant number, since it is smaller than the sum of its proper divisors (2522960940).

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

1361064660 is a wasteful number, since it uses less digits than its factorization.

1361064660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1361064660 is about 36892.6098290701. The cubic root of 1361064660 is about 1108.2206863610.

The spelling of 1361064660 in words is "one billion, three hundred sixty-one million, sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 113 206 226 309 339 412 452 515 565 618 678 1030 1130 1236 1356 1545 1695 1949 2060 2260 3090 3390 3898 5847 6180 6780 7796 9745 11639 11694 19490 23278 23388 29235 34917 38980 46556 58195 58470 69834 116390 116940 139668 174585 200747 220237 232780 349170 401494 440474 602241 660711 698340 802988 880948 1003735 1101185 1204482 1321422 2007470 2202370 2408964 2642844 3011205 3303555 4014940 4404740 6022410 6607110 12044820 13214220 22684411 45368822 68053233 90737644 113422055 136106466 226844110 272212932 340266165 453688220 680532330 1361064660