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252020520 = 23325700057
BaseRepresentation
bin11110000010110…
…00011100101000
3122120012222011100
433001120130220
51004004124040
641001401400
76150065463
oct1701303450
9576188140
10252020520
1111a293824
1270499260
134029c28b
14256842da
15171d2b30
hexf058728

252020520 has 48 divisors (see below), whose sum is σ = 819067860. Its totient is φ = 67205376.

The previous prime is 252020519. The next prime is 252020521. The reversal of 252020520 is 25020252.

It is an interprime number because it is at equal distance from previous prime (252020519) and next prime (252020521).

It can be written as a sum of positive squares in 2 ways, for example, as 205807716 + 46212804 = 14346^2 + 6798^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 252020493 and 252020502.

It is not an unprimeable number, because it can be changed into a prime (252020521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349669 + ... + 350388.

Almost surely, 2252020520 is an apocalyptic number.

252020520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252020520 is an abundant number, since it is smaller than the sum of its proper divisors (567047340).

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

252020520 is a wasteful number, since it uses less digits than its factorization.

252020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700074 (or 700067 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252020520 is about 15875.1541724797. The cubic root of 252020520 is about 631.6531037049.

Adding to 252020520 its reverse (25020252), we get a palindrome (277040772).

The spelling of 252020520 in words is "two hundred fifty-two million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 700057 1400114 2100171 2800228 3500285 4200342 5600456 6300513 7000570 8400684 10500855 12601026 14001140 16801368 21001710 25202052 28002280 31502565 42003420 50404104 63005130 84006840 126010260 252020520