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253096020 = 223251406089
BaseRepresentation
bin11110001010111…
…11000001010100
3122122020121110200
433011133001110
51004243033040
641040420500
76162165162
oct1705370124
9578217420
10253096020
1111a958871
1270917730
1340587978
1425884232
1517346630
hexf15f054

253096020 has 36 divisors (see below), whose sum is σ = 767725140. Its totient is φ = 67492224.

The previous prime is 253096009. The next prime is 253096027. The reversal of 253096020 is 20690352.

253096020 is a `hidden beast` number, since 2 + 53 + 0 + 9 + 602 + 0 = 666.

253096020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181117764 + 71978256 = 13458^2 + 8484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253096027) 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, 702865 + ... + 703224.

Almost surely, 2253096020 is an apocalyptic number.

253096020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253096020 is an abundant number, since it is smaller than the sum of its proper divisors (514629120).

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

253096020 is a wasteful number, since it uses less digits than its factorization.

253096020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406104 (or 1406099 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253096020 is about 15908.9917970939. The cubic root of 253096020 is about 632.5503571378.

It can be divided in two parts, 25309 and 6020, that added together give a square (31329 = 1772).

The spelling of 253096020 in words is "two hundred fifty-three million, ninety-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1406089 2812178 4218267 5624356 7030445 8436534 12654801 14060890 16873068 21091335 25309602 28121780 42182670 50619204 63274005 84365340 126548010 253096020