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1052573320 = 23541641813
BaseRepresentation
bin111110101111001…
…111111010001000
32201100121021011001
4332233033322020
54123424321240
6252240144344
735040503611
oct7657177210
92640537131
101052573320
114a0171a07
122546080b4
1313a0b6966
149db14c08
156261889a
hex3ebcfe88

1052573320 has 32 divisors (see below), whose sum is σ = 2426056920. Its totient is φ = 410759680.

The previous prime is 1052573303. The next prime is 1052573321. The reversal of 1052573320 is 233752501.

It can be written as a sum of positive squares in 4 ways, for example, as 346183236 + 706390084 = 18606^2 + 26578^2 .

It is a super-2 number, since 2×10525733202 = 2215821187951644800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052573321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319267 + ... + 322546.

Almost surely, 21052573320 is an apocalyptic number.

1052573320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052573320 is an abundant number, since it is smaller than the sum of its proper divisors (1373483600).

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

1052573320 is a wasteful number, since it uses less digits than its factorization.

1052573320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641865 (or 641861 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 1052573320 is about 32443.3863830519. The cubic root of 1052573320 is about 1017.2260010352.

It can be divided in two parts, 10525 and 73320, that added together give a triangular number (83845 = T409).

The spelling of 1052573320 in words is "one billion, fifty-two million, five hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 641813 1283626 2567252 3209065 5134504 6418130 12836260 25672520 26314333 52628666 105257332 131571665 210514664 263143330 526286660 1052573320