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1075014200 = 2352131133659
BaseRepresentation
bin100000000010011…
…0110101000111000
32202220211101020202
41000010312220320
54200200423300
6254401141332
735432320121
oct10004665070
92686741222
101075014200
115018aa097
1226002a848
131419430a0
14a2ab7048
156459cad5
hex40136a38

1075014200 has 96 divisors (see below), whose sum is σ = 2716232400. Its totient is φ = 393308160.

The previous prime is 1075014197. The next prime is 1075014217. The reversal of 1075014200 is 24105701.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291971 + ... + 295629.

Almost surely, 21075014200 is an apocalyptic number.

1075014200 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 1075014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358116200).

1075014200 is an abundant number, since it is smaller than the sum of its proper divisors (1641218200).

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

1075014200 is a wasteful number, since it uses less digits than its factorization.

1075014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1075014200 is about 32787.4091687648. The cubic root of 1075014200 is about 1024.4043177749.

Adding to 1075014200 its reverse (24105701), we get a palindrome (1099119901).

The spelling of 1075014200 in words is "one billion, seventy-five million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 113 130 200 226 260 325 452 520 565 650 904 1130 1300 1469 2260 2600 2825 2938 3659 4520 5650 5876 7318 7345 11300 11752 14636 14690 18295 22600 29272 29380 36590 36725 47567 58760 73180 73450 91475 95134 146360 146900 182950 190268 237835 293800 365900 380536 413467 475670 731800 826934 951340 1189175 1653868 1902680 2067335 2378350 3307736 4134670 4756700 5375071 8269340 9513400 10336675 10750142 16538680 20673350 21500284 26875355 41346700 43000568 53750710 82693400 107501420 134376775 215002840 268753550 537507100 1075014200