Search a number
-
+
1333304020 = 225236743261
BaseRepresentation
bin100111101111000…
…1001101011010100
310102220211212021101
41033132021223110
510212311212040
6340145155444
745016616506
oct11736115324
93386755241
101333304020
11624685054
1231262bb84
131832c8ab9
14c910dd76
157c0bd09a
hex4f789ad4

1333304020 has 48 divisors (see below), whose sum is σ = 2965350528. Its totient is φ = 502508160.

The previous prime is 1333304009. The next prime is 1333304099. The reversal of 1333304020 is 204033331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9190 + ... + 52450.

It is an arithmetic number, because the mean of its divisors is an integer number (61778136).

Almost surely, 21333304020 is an apocalyptic number.

1333304020 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 1333304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482675264).

1333304020 is an abundant number, since it is smaller than the sum of its proper divisors (1632046508).

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

1333304020 is a wasteful number, since it uses less digits than its factorization.

1333304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43360 (or 43358 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 1333304020 is about 36514.4357754574. The cubic root of 1333304020 is about 1100.6343503646.

Adding to 1333304020 its reverse (204033331), we get a palindrome (1537337351).

The spelling of 1333304020 in words is "one billion, three hundred thirty-three million, three hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 460 670 1340 1541 3082 6164 7705 15410 30820 43261 86522 173044 216305 432610 865220 995003 1990006 2898487 3980012 4975015 5796974 9950030 11593948 14492435 19900060 28984870 57969740 66665201 133330402 266660804 333326005 666652010 1333304020