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1369109790 = 234517195233
BaseRepresentation
bin101000110011010…
…1111010100011110
310112102012222120000
41101212233110132
510300443003130
6343504435130
745633145506
oct12146572436
93472188500
101369109790
116429104a4
12322618aa6
1318a854549
14cdb90a06
15802e2260
hex519af51e

1369109790 has 160 divisors (see below), whose sum is σ = 4103874720. Its totient is φ = 325472256.

The previous prime is 1369109783. The next prime is 1369109813. The reversal of 1369109790 is 979019631.

It is a super-3 number, since 3×13691097903 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259014 + ... + 264246.

It is an arithmetic number, because the mean of its divisors is an integer number (25649217).

Almost surely, 21369109790 is an apocalyptic number.

1369109790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1369109790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051937360).

1369109790 is an abundant number, since it is smaller than the sum of its proper divisors (2734764930).

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

1369109790 is a wasteful number, since it uses less digits than its factorization.

1369109790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 1369109790 is about 37001.4836189037. The cubic root of 1369109790 is about 1110.3999289358.

The spelling of 1369109790 in words is "one billion, three hundred sixty-nine million, one hundred nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 81 85 90 95 102 114 135 153 162 170 171 190 255 270 285 306 323 342 405 459 510 513 570 646 765 810 855 918 969 1026 1377 1530 1539 1615 1710 1938 2295 2565 2754 2907 3078 3230 4590 4845 5130 5233 5814 6885 7695 8721 9690 10466 13770 14535 15390 15699 17442 26163 26165 29070 31398 43605 47097 52326 52330 78495 87210 88961 94194 99427 130815 141291 156990 177922 198854 235485 261630 266883 282582 298281 423873 444805 470970 497135 533766 596562 706455 800649 847746 889610 894843 994270 1334415 1412910 1491405 1601298 1690259 1789686 2119365 2401947 2668830 2684529 2982810 3380518 4003245 4238730 4474215 4803894 5070777 5369058 7205841 8006490 8053587 8451295 8948430 10141554 12009735 13422645 14411682 15212331 16107174 16902590 24019470 25353885 26845290 30424662 36029205 40267935 45636993 50707770 72058410 76061655 80535870 91273986 136910979 152123310 228184965 273821958 456369930 684554895 1369109790