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1052120040 = 233516752501
BaseRepresentation
bin111110101101100…
…001001111101000
32201022202020100220
4332231201033220
54123320320130
6252222330040
735033605236
oct7655411750
92638666326
101052120040
1149a9923a4
12254429920
13139c8854a
149da37956
1562579410
hex3eb613e8

1052120040 has 64 divisors (see below), whose sum is σ = 3175320960. Its totient is φ = 278880000.

The previous prime is 1052119973. The next prime is 1052120057. The reversal of 1052120040 is 400212501.

It is a super-2 number, since 2×10521200402 = 2213913157139203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (49614390).

Almost surely, 21052120040 is an apocalyptic number.

1052120040 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 1052120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587660480).

1052120040 is an abundant number, since it is smaller than the sum of its proper divisors (2123200920).

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

1052120040 is a wasteful number, since it uses less digits than its factorization.

1052120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52682 (or 52678 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1052120040 is about 32436.3999235427. The cubic root of 1052120040 is about 1017.0799607241.

Adding to 1052120040 its reverse (400212501), we get a palindrome (1452332541).

The spelling of 1052120040 in words is "one billion, fifty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 4008 5010 6680 10020 20040 52501 105002 157503 210004 262505 315006 420008 525010 630012 787515 1050020 1260024 1575030 2100040 3150060 6300120 8767667 17535334 26303001 35070668 43838335 52606002 70141336 87676670 105212004 131515005 175353340 210424008 263030010 350706680 526060020 1052120040