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1042141200 = 24352868451
BaseRepresentation
bin111110000111011…
…101000000010000
32200121222020222020
4332013131000100
54113242004300
6251224411440
734553024352
oct7607350020
92617866866
101042141200
11495297121
12251016b80
13137ba34c9
149c59b0d2
15617578a0
hex3e1dd010

1042141200 has 60 divisors (see below), whose sum is σ = 3338329488. Its totient is φ = 277904000.

The previous prime is 1042141189. The next prime is 1042141213. The reversal of 1042141200 is 21412401.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1042141200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 433026 + ... + 435425.

Almost surely, 21042141200 is an apocalyptic number.

1042141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042141200 is an abundant number, since it is smaller than the sum of its proper divisors (2296188288).

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

1042141200 is a wasteful number, since it uses less digits than its factorization.

1042141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868472 (or 868461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1042141200 is about 32282.2118201340. The cubic root of 1042141200 is about 1013.8542402982.

Adding to 1042141200 its reverse (21412401), we get a palindrome (1063553601).

The spelling of 1042141200 in words is "one billion, forty-two million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 868451 1736902 2605353 3473804 4342255 5210706 6947608 8684510 10421412 13026765 13895216 17369020 20842824 21711275 26053530 34738040 41685648 43422550 52107060 65133825 69476080 86845100 104214120 130267650 173690200 208428240 260535300 347380400 521070600 1042141200