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1365320020 = 2252310129387
BaseRepresentation
bin101000101100001…
…0010000101010100
310112011002102222011
41101120102011110
510244010220040
6343251314004
745556012561
oct12130220524
93464072864
101365320020
11640762159
123212ab904
13189b2858c
14cd485868
157ece43ea
hex51612154

1365320020 has 48 divisors (see below), whose sum is σ = 3021556608. Its totient is φ = 517193600.

The previous prime is 1365319987. The next prime is 1365320039. The reversal of 1365320020 is 200235631.

It is a junction number, because it is equal to n+sod(n) for n = 1365319973 and 1365320000.

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 15 ways as a sum of consecutive naturals, for example, 31767 + ... + 61153.

It is an arithmetic number, because the mean of its divisors is an integer number (62949096).

Almost surely, 21365320020 is an apocalyptic number.

1365320020 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 1365320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510778304).

1365320020 is an abundant number, since it is smaller than the sum of its proper divisors (1656236588).

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

1365320020 is a wasteful number, since it uses less digits than its factorization.

1365320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520 (or 29518 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1365320020 is about 36950.2370763707. The cubic root of 1365320020 is about 1109.3744331095.

Adding to 1365320020 its reverse (200235631), we get a palindrome (1565555651).

The spelling of 1365320020 in words is "one billion, three hundred sixty-five million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 1010 2020 2323 4646 9292 11615 23230 29387 46460 58774 117548 146935 293870 587740 675901 1351802 2703604 2968087 3379505 5936174 6759010 11872348 13518020 14840435 29680870 59361740 68266001 136532002 273064004 341330005 682660010 1365320020