Search a number
-
+
1330021520 = 245173131547
BaseRepresentation
bin100111101000110…
…1000010010010000
310102200200002112022
41033101220102100
510210441142040
6335550551012
744646665522
oct11721502220
93380602468
101330021520
11622842943
12311508468
131827199a9
14c88d7a12
157bb706b5
hex4f468490

1330021520 has 80 divisors (see below), whose sum is σ = 3379926528. Its totient is φ = 484546560.

The previous prime is 1330021513. The next prime is 1330021523. The reversal of 1330021520 is 251200331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13300215202 = 3537914487326220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1330021523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26387 + ... + 57933.

Almost surely, 21330021520 is an apocalyptic number.

1330021520 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 1330021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689963264).

1330021520 is an abundant number, since it is smaller than the sum of its proper divisors (2049905008).

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

1330021520 is a wasteful number, since it uses less digits than its factorization.

1330021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31608 (or 31602 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1330021520 is about 36469.4601001989. The cubic root of 1330021520 is about 1099.7303802002.

Adding to 1330021520 its reverse (251200331), we get a palindrome (1581221851).

The spelling of 1330021520 in words is "one billion, three hundred thirty million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 31547 42160 63094 126188 157735 252376 315470 504752 536299 630940 977957 1072598 1261880 1955914 2145196 2523760 2681495 3911828 4290392 4889785 5362990 7823656 8580784 9779570 10725980 15647312 16625269 19559140 21451960 33250538 39118280 42903920 66501076 78236560 83126345 133002152 166252690 266004304 332505380 665010760 1330021520