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2416512020 = 2251323404099
BaseRepresentation
bin1001000000001001…
…0000110000010100
320020102002112022012
42100002100300110
514422111341040
61035442123352
7113612004356
oct22002206024
96212075265
102416512020
11103007027a
12575350558
132c684a590
1418cd1b0d6
15e2238865
hex90090c14

2416512020 has 48 divisors (see below), whose sum is σ = 5702659200. Its totient is φ = 853454976.

The previous prime is 2416511987. The next prime is 2416512023. The reversal of 2416512020 is 202156142.

It is a happy number.

It is a super-3 number, since 3×24165120203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416512023) 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, 196070 + ... + 208029.

It is an arithmetic number, because the mean of its divisors is an integer number (118805400).

Almost surely, 22416512020 is an apocalyptic number.

2416512020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2416512020 is an abundant number, since it is smaller than the sum of its proper divisors (3286147180).

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

2416512020 is a wasteful number, since it uses less digits than its factorization.

2416512020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404144 (or 404142 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2416512020 is about 49158.0310834354. The cubic root of 2416512020 is about 1341.9293548543.

Adding to 2416512020 its reverse (202156142), we get a palindrome (2618668162).

The spelling of 2416512020 in words is "two billion, four hundred sixteen million, five hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 404099 808198 1616396 2020495 4040990 5253287 8081980 9294277 10506574 18588554 21013148 26266435 37177108 46471385 52532870 92942770 105065740 120825601 185885540 241651202 483302404 604128005 1208256010 2416512020