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753008130 = 23357398417
BaseRepresentation
bin101100111000011…
…111111000000010
31221110220202222000
4230320133320002
53020232230010
6202415324430
724442314660
oct5470377002
91843822860
10753008130
11357065176
12190220716
13c000ba54
1472015c30
15461937c0
hex2ce1fe02

753008130 has 64 divisors (see below), whose sum is σ = 2294887680. Its totient is φ = 172115712.

The previous prime is 753008111. The next prime is 753008143. The reversal of 753008130 is 31800357.

753008130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

753008130 is a modest number, since divided by 8130 gives 7530 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 753008094 and 753008103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197319 + ... + 201098.

It is an arithmetic number, because the mean of its divisors is an integer number (35857620).

Almost surely, 2753008130 is an apocalyptic number.

753008130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

753008130 is an abundant number, since it is smaller than the sum of its proper divisors (1541879550).

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

753008130 is a wasteful number, since it uses less digits than its factorization.

753008130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398440 (or 398434 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 753008130 is about 27440.9936044597. The cubic root of 753008130 is about 909.7733727002.

Adding to 753008130 its reverse (31800357), we get a palindrome (784808487).

The spelling of 753008130 in words is "seven hundred fifty-three million, eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 398417 796834 1195251 1992085 2390502 2788919 3585753 3984170 5577838 5976255 7171506 8366757 10757259 11952510 13944595 16733514 17928765 21514518 25100271 27889190 35857530 41833785 50200542 53786295 75300813 83667570 107572590 125501355 150601626 251002710 376504065 753008130