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1830009660 = 223561749433
BaseRepresentation
bin110110100010011…
…1011101100111100
311201112111010022120
41231010323230330
512221440302120
6501331242540
763230553063
oct15504735474
94645433276
101830009660
11859aa1386
12430a49450
1323219956b
141350891da
15aa9d5140
hex6d13bb3c

1830009660 has 48 divisors (see below), whose sum is σ = 5132435616. Its totient is φ = 487201792.

The previous prime is 1830009653. The next prime is 1830009661. The reversal of 1830009660 is 669000381.

1830009660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830009661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12304 + ... + 61736.

It is an arithmetic number, because the mean of its divisors is an integer number (106925742).

Almost surely, 21830009660 is an apocalyptic number.

1830009660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830009660 is an abundant number, since it is smaller than the sum of its proper divisors (3302425956).

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

1830009660 is a wasteful number, since it uses less digits than its factorization.

1830009660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50062 (or 50060 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1830009660 is about 42778.6121794525. The cubic root of 1830009660 is about 1223.1633529183.

The spelling of 1830009660 in words is "one billion, eight hundred thirty million, nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 617 1234 1851 2468 3085 3702 6170 7404 9255 12340 18510 37020 49433 98866 148299 197732 247165 296598 494330 593196 741495 988660 1482990 2965980 30500161 61000322 91500483 122000644 152500805 183000966 305001610 366001932 457502415 610003220 915004830 1830009660