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802405060 = 225293733709
BaseRepresentation
bin101111110100111…
…011101011000100
32001220212101210221
4233310323223010
53120403430220
6211342154124
725612221232
oct5764735304
92056771727
10802405060
11381a33886
121a4882944
13ca3157c2
14787d3952
154a69e9aa
hex2fd3bac4

802405060 has 48 divisors (see below), whose sum is σ = 1748300400. Its totient is φ = 308980224.

The previous prime is 802405057. The next prime is 802405099. The reversal of 802405060 is 60504208.

It can be written as a sum of positive squares in 8 ways, for example, as 20196036 + 782209024 = 4494^2 + 27968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214486 + ... + 218194.

It is an arithmetic number, because the mean of its divisors is an integer number (36422925).

Almost surely, 2802405060 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 802405060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874150200).

802405060 is an abundant number, since it is smaller than the sum of its proper divisors (945895340).

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

802405060 is a wasteful number, since it uses less digits than its factorization.

802405060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 802405060 is about 28326.7551971630. The cubic root of 802405060 is about 929.2471110102.

Adding to 802405060 its reverse (60504208), we get a palindrome (862909268).

The spelling of 802405060 in words is "eight hundred two million, four hundred five thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 373 580 746 1492 1865 3709 3730 7418 7460 10817 14836 18545 21634 37090 43268 54085 74180 107561 108170 215122 216340 430244 537805 1075610 1383457 2151220 2766914 5533828 6917285 13834570 27669140 40120253 80240506 160481012 200601265 401202530 802405060