Search a number
-
+
1365081088 = 21071571213
BaseRepresentation
bin101000101011101…
…0111110000000000
310112010122022012211
41101113113300000
510243430043323
6343242231504
745553666150
oct12127276000
93463568184
101365081088
11640609698
123211b5594
13189a738b7
14cd422760
157ec9870d
hex515d7c00

1365081088 has 88 divisors (see below), whose sum is σ = 3141113312. Its totient is φ = 580829184.

The previous prime is 1365081083. The next prime is 1365081103. The reversal of 1365081088 is 8801805631.

It is a self number, because there is not a number n which added to its sum of digits gives 1365081088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365081083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1124770 + ... + 1125982.

Almost surely, 21365081088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570556656).

1365081088 is an abundant number, since it is smaller than the sum of its proper divisors (1776032224).

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

1365081088 is a wasteful number, since it uses less digits than its factorization.

1365081088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1365081088 is about 36947.0037756785. The cubic root of 1365081088 is about 1109.3097155557.

The spelling of 1365081088 in words is "one billion, three hundred sixty-five million, eighty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 512 628 896 1024 1099 1213 1256 1792 2198 2426 2512 3584 4396 4852 5024 7168 8491 8792 9704 10048 16982 17584 19408 20096 33964 35168 38816 40192 67928 70336 77632 80384 135856 140672 155264 160768 190441 271712 281344 310528 380882 543424 562688 621056 761764 1086848 1125376 1242112 1333087 1523528 2173696 2666174 3047056 4347392 5332348 6094112 8694784 10664696 12188224 21329392 24376448 42658784 48752896 85317568 97505792 170635136 195011584 341270272 682540544 1365081088