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1365535020 = 223561509733
BaseRepresentation
bin101000101100100…
…0110100100101100
310112011111100220010
41101121012210230
510244034110040
6343300053220
745560566443
oct12131064454
93464440803
101365535020
11640899743
12321394210
13189ba23b5
14cd4ddd5a
157ed37e80
hex5164692c

1365535020 has 96 divisors (see below), whose sum is σ = 3899125440. Its totient is φ = 356981760.

The previous prime is 1365535019. The next prime is 1365535043. The reversal of 1365535020 is 205355631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1862574 + ... + 1863306.

It is an arithmetic number, because the mean of its divisors is an integer number (40615890).

Almost surely, 21365535020 is an apocalyptic number.

1365535020 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 1365535020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949562720).

1365535020 is an abundant number, since it is smaller than the sum of its proper divisors (2533590420).

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

1365535020 is a wasteful number, since it uses less digits than its factorization.

1365535020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 1365535020 is about 36953.1462801207. The cubic root of 1365535020 is about 1109.4326619450.

The spelling of 1365535020 in words is "one billion, three hundred sixty-five million, five hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 509 610 732 733 915 1018 1220 1466 1527 1830 2036 2199 2545 2932 3054 3660 3665 4398 5090 6108 7330 7635 8796 10180 10995 14660 15270 21990 30540 31049 43980 44713 62098 89426 93147 124196 134139 155245 178852 186294 223565 268278 310490 372588 373097 447130 465735 536556 620980 670695 746194 894260 931470 1119291 1341390 1492388 1862940 1865485 2238582 2682780 3730970 4477164 5596455 7461940 11192910 22385820 22758917 45517834 68276751 91035668 113794585 136553502 227589170 273107004 341383755 455178340 682767510 1365535020