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2565153040 = 24532064413
BaseRepresentation
bin1001100011100101…
…0010000100010000
320121202210021110011
42120321102010100
520223134344130
61102312044304
7120365304202
oct23071220420
96552707404
102565153040
1110a6a6449a
125b7093694
1331b591a48
141a4970772
151002ea52a
hex98e52110

2565153040 has 20 divisors (see below), whose sum is σ = 5963981004. Its totient is φ = 1026061184.

The previous prime is 2565153023. The next prime is 2565153047. The reversal of 2565153040 is 403515652.

It can be written as a sum of positive squares in 2 ways, for example, as 558471424 + 2006681616 = 23632^2 + 44796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2565152993 and 2565153011.

It is not an unprimeable number, because it can be changed into a prime (2565153047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16032127 + ... + 16032286.

Almost surely, 22565153040 is an apocalyptic number.

2565153040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565153040 is an abundant number, since it is smaller than the sum of its proper divisors (3398827964).

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

2565153040 is a wasteful number, since it uses less digits than its factorization.

2565153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064426 (or 32064420 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 2565153040 is about 50647.3399104040. The cubic root of 2565153040 is about 1368.8980145043.

Adding to 2565153040 its reverse (403515652), we get a palindrome (2968668692).

The spelling of 2565153040 in words is "two billion, five hundred sixty-five million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32064413 64128826 128257652 160322065 256515304 320644130 513030608 641288260 1282576520 2565153040