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1830009676 = 2211178812777
BaseRepresentation
bin110110100010011…
…1011101101001100
311201112111010100011
41231010323231030
512221440302201
6501331243004
763230553115
oct15504735514
94645433304
101830009676
11859aa13a0
12430a49464
13232199581
1413508920c
15aa9d5151
hex6d13bb4c

1830009676 has 48 divisors (see below), whose sum is σ = 3704696352. Its totient is φ = 781721600.

The previous prime is 1830009673. The next prime is 1830009683. The reversal of 1830009676 is 6769000381.

It is not an unprimeable number, because it can be changed into a prime (1830009673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657600 + ... + 660376.

It is an arithmetic number, because the mean of its divisors is an integer number (77181174).

Almost surely, 21830009676 is an apocalyptic number.

It is an amenable number.

1830009676 is an abundant number, since it is smaller than the sum of its proper divisors (1874686676).

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

1830009676 is a wasteful number, since it uses less digits than its factorization.

1830009676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1830009676 is about 42778.6123664618. The cubic root of 1830009676 is about 1223.1633564831.

The spelling of 1830009676 in words is "one billion, eight hundred thirty million, nine thousand, six hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 881 1762 2777 3524 5554 9691 11108 14977 19382 29954 30547 38764 47209 59908 61094 94418 122188 164747 188836 329494 519299 658988 1038598 2077196 2446537 4893074 9786148 26911907 41591129 53823814 83182258 107647628 166364516 457502419 915004838 1830009676