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2146145130 = 232547949783
BaseRepresentation
bin111111111101011…
…1001001101101010
312112120100110122200
41333322321031222
513343403121010
6552543201030
7104116634613
oct17772711552
95476313580
102146145130
11a01496668
124ba8a6176
1328282677c
1416505cc0a
15c862ecc0
hex7feb936a

2146145130 has 48 divisors (see below), whose sum is σ = 5591738880. Its totient is φ = 571099104.

The previous prime is 2146145101. The next prime is 2146145147. The reversal of 2146145130 is 315416412.

It is a happy number.

2146145130 is a `hidden beast` number, since 2 + 14 + 614 + 5 + 1 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2146145094 and 2146145103.

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, 18219 + ... + 68001.

It is an arithmetic number, because the mean of its divisors is an integer number (116494560).

Almost surely, 22146145130 is an apocalyptic number.

2146145130 is an abundant number, since it is smaller than the sum of its proper divisors (3445593750).

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

2146145130 is a wasteful number, since it uses less digits than its factorization.

2146145130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50275 (or 50272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2146145130 is about 46326.5056959836. The cubic root of 2146145130 is about 1289.8910490281.

The spelling of 2146145130 in words is "two billion, one hundred forty-six million, one hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 479 958 1437 2395 2874 4311 4790 7185 8622 14370 21555 43110 49783 99566 149349 248915 298698 448047 497830 746745 896094 1493490 2240235 4480470 23846057 47692114 71538171 119230285 143076342 214614513 238460570 357690855 429229026 715381710 1073072565 2146145130