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500145320 = 235311492707
BaseRepresentation
bin11101110011111…
…001110010101000
31021212010000101202
4131303321302220
52011014122240
6121343503332
715252110423
oct3563716250
91255100352
10500145320
11237356644
1211b5b7b48
137c80629c
144a5d29ba
152dd96315
hex1dcf9ca8

500145320 has 64 divisors (see below), whose sum is σ = 1169856000. Its totient is φ = 192234240.

The previous prime is 500145319. The next prime is 500145329. The reversal of 500145320 is 23541005.

It is a super-2 number, since 2×5001453202 = 500290682235804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 500145292 and 500145301.

It is not an unprimeable number, because it can be changed into a prime (500145329) 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 15 ways as a sum of consecutive naturals, for example, 183407 + ... + 186113.

It is an arithmetic number, because the mean of its divisors is an integer number (18279000).

Almost surely, 2500145320 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 500145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584928000).

500145320 is an abundant number, since it is smaller than the sum of its proper divisors (669710680).

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

500145320 is a wasteful number, since it uses less digits than its factorization.

500145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 500145320 is about 22363.9289929118. The cubic root of 500145320 is about 793.7774122428. Note that the first 3 decimals are identical.

Adding to 500145320 its reverse (23541005), we get a palindrome (523686325).

The spelling of 500145320 in words is "five hundred million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 149 155 248 298 310 596 620 745 1192 1240 1490 2707 2980 4619 5414 5960 9238 10828 13535 18476 21656 23095 27070 36952 46190 54140 83917 92380 108280 167834 184760 335668 403343 419585 671336 806686 839170 1613372 1678340 2016715 3226744 3356680 4033430 8066860 12503633 16133720 25007266 50014532 62518165 100029064 125036330 250072660 500145320