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1520006020 = 22513103211269
BaseRepresentation
bin101101010011001…
…0111001110000100
310220221011022021021
41122212113032010
511103110143040
6410455000524
752444560301
oct13246271604
93827138237
101520006020
11710005025
12365069144
131b2ba8360
14105c300a8
158d69c24a
hex5a997384

1520006020 has 96 divisors (see below), whose sum is σ = 3500340480. Its totient is φ = 551093760.

The previous prime is 1520006003. The next prime is 1520006021. The reversal of 1520006020 is 206000251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1520005985 and 1520006003.

It is not an unprimeable number, because it can be changed into a prime (1520006021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5650446 + ... + 5650714.

It is an arithmetic number, because the mean of its divisors is an integer number (36461880).

Almost surely, 21520006020 is an apocalyptic number.

1520006020 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 1520006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750170240).

1520006020 is an abundant number, since it is smaller than the sum of its proper divisors (1980334460).

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

1520006020 is a wasteful number, since it uses less digits than its factorization.

1520006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1520006020 is about 38987.2545840304. The cubic root of 1520006020 is about 1149.7809336975.

Adding to 1520006020 its reverse (206000251), we get a palindrome (1726006271).

The spelling of 1520006020 in words is "one billion, five hundred twenty million, six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 211 260 269 412 422 515 538 844 1030 1055 1076 1339 1345 2060 2110 2678 2690 2743 3497 4220 5356 5380 5486 6695 6994 10972 13390 13715 13988 17485 21733 26780 27430 27707 34970 43466 54860 55414 56759 69940 86932 108665 110828 113518 138535 217330 227036 277070 282529 283795 360191 434660 554140 565058 567590 720382 737867 1130116 1135180 1412645 1440764 1475734 1800955 2825290 2951468 3601910 3689335 5650580 5846177 7203820 7378670 11692354 14757340 23384708 29230885 58461770 76000301 116923540 152000602 304001204 380001505 760003010 1520006020