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1302005520 = 2432517106373
BaseRepresentation
bin100110110011011…
…0000011100010000
310100201221201210200
41031212300130100
510131303134040
6333110255200
744156602314
oct11546603420
93321851720
101302005520
11608a48022
12304057500
1317998aa8a
14c4cc3b44
1579489630
hex4d9b0710

1302005520 has 120 divisors (see below), whose sum is σ = 4629821976. Its totient is φ = 326774784.

The previous prime is 1302005513. The next prime is 1302005531. The reversal of 1302005520 is 255002031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 1286513424 = 3936^2 + 35868^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13020055202 = 3390436748220940800, 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 = 1302005493 and 1302005502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40947 + ... + 65426.

Almost surely, 21302005520 is an apocalyptic number.

1302005520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302005520 is an abundant number, since it is smaller than the sum of its proper divisors (3327816456).

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

1302005520 is a wasteful number, since it uses less digits than its factorization.

1302005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106409 (or 106400 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1302005520 is about 36083.3135950677. The cubic root of 1302005520 is about 1091.9538281005.

Adding to 1302005520 its reverse (255002031), we get a palindrome (1557007551).

The spelling of 1302005520 in words is "one billion, three hundred two million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 106373 212746 319119 425492 531865 638238 850984 957357 1063730 1276476 1595595 1701968 1808341 1914714 2127460 2552952 3191190 3616682 3829428 4254920 4786785 5105904 5425023 6382380 7233364 7658856 8509840 9041705 9573570 10850046 12764760 14466728 15317712 16275069 18083410 19147140 21700092 25529520 27125115 28933456 32550138 36166820 38294280 43400184 54250230 65100276 72333640 76588560 81375345 86800368 108500460 130200552 144667280 162750690 217000920 260401104 325501380 434001840 651002760 1302005520