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1830097854 = 233133138329
BaseRepresentation
bin110110100010101…
…0001001110111110
311201112122121022000
41231011101032332
512222001112404
6501333203130
763231401154
oct15505211676
94645577260
101830097854
1185a051672
12430a904a6
132321ca750
141350ad3d4
15aaa01339
hex6d1513be

1830097854 has 64 divisors (see below), whose sum is σ = 4394241600. Its totient is φ = 561240576.

The previous prime is 1830097823. The next prime is 1830097859. The reversal of 1830097854 is 4587900381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830097859) 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 31 ways as a sum of consecutive naturals, for example, 215562 + ... + 223890.

It is an arithmetic number, because the mean of its divisors is an integer number (68660025).

Almost surely, 21830097854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830097854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197120800).

1830097854 is an abundant number, since it is smaller than the sum of its proper divisors (2564143746).

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

1830097854 is a wasteful number, since it uses less digits than its factorization.

1830097854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1830097854 is about 42779.6429858876. The cubic root of 1830097854 is about 1223.1830019832.

The spelling of 1830097854 in words is "one billion, eight hundred thirty million, ninety-seven thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 313 351 626 702 939 1878 2817 4069 5634 8138 8329 8451 12207 16658 16902 24414 24987 36621 49974 73242 74961 108277 109863 149922 216554 219726 224883 324831 449766 649662 974493 1948986 2606977 2923479 5213954 5846958 7820931 15641862 23462793 33890701 46925586 67781402 70388379 101672103 140776758 203344206 305016309 610032618 915048927 1830097854