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1035052040 = 2351110123291
BaseRepresentation
bin111101101100011…
…010010000001000
32200010122002110202
4331230122100020
54104433131130
6250412431332
734435540301
oct7554322010
92603562422
101035052040
11491294a10
1224a778548
13136590839
149b6737a8
1560d07145
hex3db1a408

1035052040 has 64 divisors (see below), whose sum is σ = 2565846720. Its totient is φ = 372640000.

The previous prime is 1035052033. The next prime is 1035052043. The reversal of 1035052040 is 402505301.

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

It is not an unprimeable number, because it can be changed into a prime (1035052043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32795 + ... + 56085.

It is an arithmetic number, because the mean of its divisors is an integer number (40091355).

Almost surely, 21035052040 is an apocalyptic number.

1035052040 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 1035052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282923360).

1035052040 is an abundant number, since it is smaller than the sum of its proper divisors (1530794680).

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

1035052040 is a wasteful number, since it uses less digits than its factorization.

1035052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414 (or 23410 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1035052040 is about 32172.2246666282. The cubic root of 1035052040 is about 1011.5500950259.

Adding to 1035052040 its reverse (402505301), we get a palindrome (1437557341).

The spelling of 1035052040 in words is "one billion, thirty-five million, fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 23291 44440 46582 93164 116455 186328 232910 256201 465820 512402 931640 1024804 1281005 2049608 2352391 2562010 4704782 5124020 9409564 10248040 11761955 18819128 23523910 25876301 47047820 51752602 94095640 103505204 129381505 207010408 258763010 517526020 1035052040