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524180020 = 2257131791609
BaseRepresentation
bin11111001111100…
…101101000110100
31100112100002210211
4133033211220310
52033142230040
6124002555204
715663312430
oct3717455064
91315302724
10524180020
11249982231
12127668b04
138479ccc0
144d88b9c0
15310428ea
hex1f3e5a34

524180020 has 96 divisors (see below), whose sum is σ = 1363219200. Its totient is φ = 164865024.

The previous prime is 524180011. The next prime is 524180021. The reversal of 524180020 is 20081425.

It is a junction number, because it is equal to n+sod(n) for n = 524179973 and 524180000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524180021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324976 + ... + 326584.

It is an arithmetic number, because the mean of its divisors is an integer number (14200200).

Almost surely, 2524180020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524180020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681609600).

524180020 is an abundant number, since it is smaller than the sum of its proper divisors (839039180).

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

524180020 is a wasteful number, since it uses less digits than its factorization.

524180020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 524180020 is about 22894.9780519659. The cubic root of 524180020 is about 806.2941107609.

The spelling of 524180020 in words is "five hundred twenty-four million, one hundred eighty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 179 182 260 358 364 455 716 895 910 1253 1609 1790 1820 2327 2506 3218 3580 4654 5012 6265 6436 8045 9308 11263 11635 12530 16090 16289 20917 22526 23270 25060 32180 32578 41834 45052 46540 56315 65156 81445 83668 104585 112630 146419 162890 209170 225260 288011 292838 325780 418340 576022 585676 732095 1152044 1440055 1464190 2016077 2880110 2928380 3744143 4032154 5760220 7488286 8064308 10080385 14976572 18720715 20160770 26209001 37441430 40321540 52418002 74882860 104836004 131045005 262090010 524180020