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1335204420 = 22351118111177
BaseRepresentation
bin100111110010101…
…1001101001000100
310110001102102010120
41033211121221010
510213303020140
6340254021540
745042023154
oct11745315104
93401372116
101335204420
11625762930
123131a78b0
13183812ab4
14c9486764
157c3461d0
hex4f959a44

1335204420 has 96 divisors (see below), whose sum is σ = 4101342336. Its totient is φ = 321868800.

The previous prime is 1335204391. The next prime is 1335204443. The reversal of 1335204420 is 244025331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113872 + ... + 125048.

It is an arithmetic number, because the mean of its divisors is an integer number (42722316).

Almost surely, 21335204420 is an apocalyptic number.

1335204420 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 1335204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050671168).

1335204420 is an abundant number, since it is smaller than the sum of its proper divisors (2766137916).

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

1335204420 is a wasteful number, since it uses less digits than its factorization.

1335204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1335204420 is about 36540.4490941203. The cubic root of 1335204420 is about 1101.1570249913.

Adding to 1335204420 its reverse (244025331), we get a palindrome (1579229751).

Subtracting from 1335204420 its reverse (244025331), we obtain a square (1091179089 = 330332).

The spelling of 1335204420 in words is "one billion, three hundred thirty-five million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11177 11946 19910 22354 23892 29865 33531 39820 44708 55885 59730 67062 111770 119460 122947 134124 167655 223540 245894 335310 368841 491788 614735 670620 737682 1229470 1475364 1844205 2023037 2458940 3688410 4046074 6069111 7376820 8092148 10115185 12138222 20230370 22253407 24276444 30345555 40460740 44506814 60691110 66760221 89013628 111267035 121382220 133520442 222534070 267040884 333801105 445068140 667602210 1335204420