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1330143320 = 235112416703
BaseRepresentation
bin100111101001000…
…0110000001011000
310102200220021121102
41033102012001120
510211004041240
6335553330532
744651013602
oct11722060130
93380807542
101330143320
11622916400
12311566a48
1318276026c
14c892a172
157bb96815
hex4f486058

1330143320 has 96 divisors (see below), whose sum is σ = 3370368960. Its totient is φ = 471820800.

The previous prime is 1330143307. The next prime is 1330143341. The reversal of 1330143320 is 233410331.

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 = 1330143292 and 1330143301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195089 + ... + 201791.

It is an arithmetic number, because the mean of its divisors is an integer number (35108010).

Almost surely, 21330143320 is an apocalyptic number.

1330143320 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 1330143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685184480).

1330143320 is an abundant number, since it is smaller than the sum of its proper divisors (2040225640).

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

1330143320 is a wasteful number, since it uses less digits than its factorization.

1330143320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6762 counting only the distinct ones).

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

The square root of 1330143320 is about 36471.1299523335. The cubic root of 1330143320 is about 1099.7639493492.

Adding to 1330143320 its reverse (233410331), we get a palindrome (1563553651).

The spelling of 1330143320 in words is "one billion, three hundred thirty million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 410 440 451 484 605 820 902 968 1210 1640 1804 2255 2420 3608 4510 4840 4961 6703 9020 9922 13406 18040 19844 24805 26812 33515 39688 49610 53624 67030 73733 99220 134060 147466 198440 268120 274823 294932 368665 549646 589864 737330 811063 1099292 1374115 1474660 1622126 2198584 2748230 2949320 3023053 3244252 4055315 5496460 6046106 6488504 8110630 10992920 12092212 15115265 16221260 24184424 30230530 32442520 33253583 60461060 66507166 120922120 133014332 166267915 266028664 332535830 665071660 1330143320