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1052342120 = 235317111953
BaseRepresentation
bin111110101110010…
…111011101101000
32201100011112000002
4332232113131220
54123344421440
6252231202132
735035521554
oct7656273550
92640145002
101052342120
114a0024235
12254516348
1313a03565b
149da94864
15625c0115
hex3eb97768

1052342120 has 64 divisors (see below), whose sum is σ = 2478781440. Its totient is φ = 401587200.

The previous prime is 1052342119. The next prime is 1052342131. The reversal of 1052342120 is 212432501.

It is a super-2 number, since 2×10523421202 = 2214847875052188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1052342092 and 1052342101.

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 15 ways as a sum of consecutive naturals, for example, 82064 + ... + 94016.

It is an arithmetic number, because the mean of its divisors is an integer number (38730960).

Almost surely, 21052342120 is an apocalyptic number.

1052342120 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 1052342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239390720).

1052342120 is an abundant number, since it is smaller than the sum of its proper divisors (1426439320).

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

1052342120 is a wasteful number, since it uses less digits than its factorization.

1052342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1052342120 is about 32439.8230574706. The cubic root of 1052342120 is about 1017.1515169530.

Adding to 1052342120 its reverse (212432501), we get a palindrome (1264774621).

The spelling of 1052342120 in words is "one billion, fifty-two million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 568 620 710 1240 1420 2201 2840 4402 8804 11005 11953 17608 22010 23906 44020 47812 59765 88040 95624 119530 239060 370543 478120 741086 848663 1482172 1697326 1852715 2964344 3394652 3705430 4243315 6789304 7410860 8486630 14821720 16973260 26308553 33946520 52617106 105234212 131542765 210468424 263085530 526171060 1052342120