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1004071530 = 2357111922877
BaseRepresentation
bin111011110110001…
…110101001101010
32120222100010012110
4323312032221222
54024020242110
6243344423150
733611316150
oct7366165152
92528303173
101004071530
11475854890
12240317ab6
13130034487
14974cb3d0
155d237a20
hex3bd8ea6a

1004071530 has 128 divisors (see below), whose sum is σ = 3162654720. Its totient is φ = 197648640.

The previous prime is 1004071517. The next prime is 1004071547. The reversal of 1004071530 is 351704001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1004071497 and 1004071506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32452 + ... + 55328.

It is an arithmetic number, because the mean of its divisors is an integer number (24708240).

Almost surely, 21004071530 is an apocalyptic number.

1004071530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004071530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581327360).

1004071530 is an abundant number, since it is smaller than the sum of its proper divisors (2158583190).

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

1004071530 is a wasteful number, since it uses less digits than its factorization.

1004071530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22924.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1004071530 is about 31687.0877487976. The cubic root of 1004071530 is about 1001.3553388933.

Adding to 1004071530 its reverse (351704001), we get a palindrome (1355775531).

The spelling of 1004071530 in words is "one billion, four million, seventy-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 330 385 399 418 462 570 627 665 770 798 1045 1155 1254 1330 1463 1995 2090 2310 2926 3135 3990 4389 6270 7315 8778 14630 21945 22877 43890 45754 68631 114385 137262 160139 228770 251647 320278 343155 434663 480417 503294 686310 754941 800695 869326 960834 1258235 1303989 1509882 1601390 1761529 2173315 2402085 2516470 2607978 3042641 3523058 3774705 4346630 4781293 4804170 5284587 6085282 6519945 7549410 8807645 9127923 9562586 10569174 13039890 14343879 15213205 17615290 18255846 23906465 26422935 28687758 30426410 33469051 45639615 47812930 52845870 66938102 71719395 91279230 100407153 143438790 167345255 200814306 334690510 502035765 1004071530