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1304021520 = 243251811141
BaseRepresentation
bin100110110111001…
…1100101000010000
310100212202011020100
41031232130220100
510132312142040
6333221412400
744213000004
oct11556345020
93325664210
101304021520
1160a0a473a
1230486a100
1317a215589
14c528a704
1579736b30
hex4db9ca10

1304021520 has 60 divisors (see below), whose sum is σ = 4379341356. Its totient is φ = 347738880.

The previous prime is 1304021497. The next prime is 1304021573. The reversal of 1304021520 is 251204031.

It can be written as a sum of positive squares in 2 ways, for example, as 1006665984 + 297355536 = 31728^2 + 17244^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13040215202 = 3400944249246220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1304021493 and 1304021502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904851 + ... + 906290.

Almost surely, 21304021520 is an apocalyptic number.

1304021520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304021520 is an abundant number, since it is smaller than the sum of its proper divisors (3075319836).

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

1304021520 is a wasteful number, since it uses less digits than its factorization.

1304021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811160 (or 1811151 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1304021520 is about 36111.2381399475. The cubic root of 1304021520 is about 1092.5171241514.

Adding to 1304021520 its reverse (251204031), we get a palindrome (1555225551).

The spelling of 1304021520 in words is "one billion, three hundred four million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1811141 3622282 5433423 7244564 9055705 10866846 14489128 16300269 18111410 21733692 27167115 28978256 32600538 36222820 43467384 54334230 65201076 72445640 81501345 86934768 108668460 130402152 144891280 163002690 217336920 260804304 326005380 434673840 652010760 1304021520