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253052040 = 23352108767
BaseRepresentation
bin11110001010101…
…00010010001000
3122122011101010210
433011110102020
51004240131130
641035441120
76161623023
oct1705242210
9578141123
10253052040
1111a92881a
12708b61a0
1340570947
14258721ba
15173385b0
hexf154488

253052040 has 32 divisors (see below), whose sum is σ = 759156480. Its totient is φ = 67480512.

The previous prime is 253052029. The next prime is 253052047. The reversal of 253052040 is 40250352.

It is a junction number, because it is equal to n+sod(n) for n = 253051998 and 253052016.

It is not an unprimeable number, because it can be changed into a prime (253052047) 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 7 ways as a sum of consecutive naturals, for example, 1054264 + ... + 1054503.

It is an arithmetic number, because the mean of its divisors is an integer number (23723640).

Almost surely, 2253052040 is an apocalyptic number.

253052040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253052040 is an abundant number, since it is smaller than the sum of its proper divisors (506104440).

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

253052040 is a wasteful number, since it uses less digits than its factorization.

253052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108781 (or 2108777 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 253052040 is about 15907.6094998589. The cubic root of 253052040 is about 632.5137160029.

The spelling of 253052040 in words is "two hundred fifty-three million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2108767 4217534 6326301 8435068 10543835 12652602 16870136 21087670 25305204 31631505 42175340 50610408 63263010 84350680 126526020 253052040