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1333041320 = 235137335117
BaseRepresentation
bin100111101110100…
…1001100010101000
310102220100111220202
41033131021202220
510212224310240
6340135411332
745014443562
oct11735114250
93386314822
101333041320
11624515746
12312523b48
13183236360
14c9082332
157c06a315
hex4f7498a8

1333041320 has 64 divisors (see below), whose sum is σ = 3274402320. Its totient is φ = 485443584.

The previous prime is 1333041317. The next prime is 1333041341. The reversal of 1333041320 is 231403331.

It can be written as a sum of positive squares in 8 ways, for example, as 38912644 + 1294128676 = 6238^2 + 35974^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1333041292 and 1333041301.

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, 20402 + ... + 55518.

Almost surely, 21333041320 is an apocalyptic number.

1333041320 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 1333041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637201160).

1333041320 is an abundant number, since it is smaller than the sum of its proper divisors (1941361000).

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

1333041320 is a wasteful number, since it uses less digits than its factorization.

1333041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35214 (or 35210 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1333041320 is about 36510.8383908121. The cubic root of 1333041320 is about 1100.5620598664.

Adding to 1333041320 its reverse (231403331), we get a palindrome (1564444651).

The spelling of 1333041320 in words is "one billion, three hundred thirty-three million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 7592 9490 18980 35117 37960 70234 140468 175585 280936 351170 456521 702340 913042 1404680 1826084 2282605 2563541 3652168 4565210 5127082 9130420 10254164 12817705 18260840 20508328 25635410 33326033 51270820 66652066 102541640 133304132 166630165 266608264 333260330 666520660 1333041320