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1051024040 = 235118872693
BaseRepresentation
bin111110101001010…
…101101010101000
32201020200112221022
4332221111222220
54123030232130
6252143032012
735021362013
oct7651255250
92636615838
101051024040
1149a303a10
12253b9b608
13139993721
149d83037a
156240e7e5
hex3ea55aa8

1051024040 has 64 divisors (see below), whose sum is σ = 2583653760. Its totient is φ = 381617920.

The previous prime is 1051023989. The next prime is 1051024043. The reversal of 1051024040 is 404201501.

It is a super-2 number, since 2×10510240402 = 2209303065315843200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051024043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388934 + ... + 391626.

It is an arithmetic number, because the mean of its divisors is an integer number (40369590).

Almost surely, 21051024040 is an apocalyptic number.

1051024040 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 1051024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291826880).

1051024040 is an abundant number, since it is smaller than the sum of its proper divisors (1532629720).

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

1051024040 is a wasteful number, since it uses less digits than its factorization.

1051024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1051024040 is about 32419.5009215133. The cubic root of 1051024040 is about 1016.7266718443.

Adding to 1051024040 its reverse (404201501), we get a palindrome (1455225541).

The spelling of 1051024040 in words is "one billion, fifty-one million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 887 1774 2693 3548 4435 5386 7096 8870 9757 10772 13465 17740 19514 21544 26930 29623 35480 39028 48785 53860 59246 78056 97570 107720 118492 148115 195140 236984 296230 390280 592460 1184920 2388691 4777382 9554764 11943455 19109528 23886910 26275601 47773820 52551202 95547640 105102404 131378005 210204808 262756010 525512020 1051024040