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1052012520 = 23325131911831
BaseRepresentation
bin111110101101000…
…110111111101000
32201022112202212200
4332231012333220
54123303400040
6252220140200
735032646616
oct7655067750
92638482780
101052012520
1149a919639
12254397660
13139c4b620
149da0a6b6
1562557630
hex3eb46fe8

1052012520 has 192 divisors, whose sum is σ = 3876163200. Its totient is φ = 245306880.

The previous prime is 1052012509. The next prime is 1052012537. The reversal of 1052012520 is 252102501.

1052012520 is a `hidden beast` number, since 1 + 0 + 520 + 125 + 20 = 666.

It is a super-2 number, since 2×10520125202 = 2213460684473500800, which contains 22 as substring.

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 = 1052012493 and 1052012502.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 83005 + ... + 94835.

It is an arithmetic number, because the mean of its divisors is an integer number (20188350).

Almost surely, 21052012520 is an apocalyptic number.

1052012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938081600).

1052012520 is an abundant number, since it is smaller than the sum of its proper divisors (2824150680).

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

1052012520 is a wasteful number, since it uses less digits than its factorization.

1052012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1052012520 is about 32434.7424839477. The cubic root of 1052012520 is about 1017.0453131685.

The spelling of 1052012520 in words is "one billion, fifty-two million, twelve thousand, five hundred twenty".