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610135380 = 223257974253
BaseRepresentation
bin100100010111011…
…110110101010100
31120112002002101200
4210113132311110
52222143313010
6140313152500
721056031231
oct4427366524
91515062350
10610135380
11293450818
121503bb730
1399536c6a
145b064788
1538870cc0
hex245ded54

610135380 has 72 divisors (see below), whose sum is σ = 1853501832. Its totient is φ = 162460416.

The previous prime is 610135373. The next prime is 610135399. The reversal of 610135380 is 83531016.

610135380 is a `hidden beast` number, since 610 + 13 + 5 + 38 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4384836 + 605750544 = 2094^2 + 24612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141334 + ... + 145586.

It is an arithmetic number, because the mean of its divisors is an integer number (25743081).

Almost surely, 2610135380 is an apocalyptic number.

610135380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610135380 is an abundant number, since it is smaller than the sum of its proper divisors (1243366452).

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

610135380 is a wasteful number, since it uses less digits than its factorization.

610135380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 610135380 is about 24700.9186064000. The cubic root of 610135380 is about 848.1553445235.

Adding to 610135380 its reverse (83531016), we get a palindrome (693666396).

The spelling of 610135380 in words is "six hundred ten million, one hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1594 2391 3188 3985 4253 4782 7173 7970 8506 9564 11955 12759 14346 15940 17012 21265 23910 25518 28692 35865 38277 42530 47820 51036 63795 71730 76554 85060 127590 143460 153108 191385 255180 382770 765540 3389641 6779282 10168923 13558564 16948205 20337846 30506769 33896410 40675692 50844615 61013538 67792820 101689230 122027076 152533845 203378460 305067690 610135380