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524141120 = 2652696089
BaseRepresentation
bin11111001111011…
…100001001000000
31100112021010110002
4133033130021000
52033140003440
6124002055132
715663061136
oct3717341100
91315233402
10524141120
11249955a88
1212764a4a8
1384788399
144d87b756
1531036115
hex1f3dc240

524141120 has 56 divisors (see below), whose sum is σ = 1252956600. Its totient is φ = 208842752.

The previous prime is 524141047. The next prime is 524141141. The reversal of 524141120 is 21141425.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 520204864 = 1984^2 + 22808^2 .

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 = 524141092 and 524141101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83036 + ... + 89124.

It is an arithmetic number, because the mean of its divisors is an integer number (22374225).

Almost surely, 2524141120 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 524141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626478300).

524141120 is an abundant number, since it is smaller than the sum of its proper divisors (728815480).

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

524141120 is a wasteful number, since it uses less digits than its factorization.

524141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 524141120 is about 22894.1285049246. The cubic root of 524141120 is about 806.2741649308.

Adding to 524141120 its reverse (21141425), we get a palindrome (545282545).

The spelling of 524141120 in words is "five hundred twenty-four million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 269 320 538 1076 1345 2152 2690 4304 5380 6089 8608 10760 12178 17216 21520 24356 30445 43040 48712 60890 86080 97424 121780 194848 243560 389696 487120 974240 1637941 1948480 3275882 6551764 8189705 13103528 16379410 26207056 32758820 52414112 65517640 104828224 131035280 262070560 524141120