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1907820468 = 22322311811951
BaseRepresentation
bin111000110110111…
…0000011110110100
311220221220022200100
41301231300132310
512401400223333
6513151114100
765164130541
oct16155603664
94827808610
101907820468
11899a07834
12452b12930
13245341368
14141541bc8
15b2755213
hex71b707b4

1907820468 has 72 divisors (see below), whose sum is σ = 5039064576. Its totient is φ = 607464000.

The previous prime is 1907820451. The next prime is 1907820469. The reversal of 1907820468 is 8640287091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1907820469) 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 23 ways as a sum of consecutive naturals, for example, 976893 + ... + 978843.

It is an arithmetic number, because the mean of its divisors is an integer number (69987008).

Almost surely, 21907820468 is an apocalyptic number.

1907820468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1907820468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519532288).

1907820468 is an abundant number, since it is smaller than the sum of its proper divisors (3131244108).

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

1907820468 is a wasteful number, since it uses less digits than its factorization.

1907820468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1907820468 is about 43678.6042359414. The cubic root of 1907820468 is about 1240.2593257486.

The spelling of 1907820468 in words is "one billion, nine hundred seven million, eight hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1181 1951 2362 3543 3902 4724 5853 7086 7804 10629 11706 14172 17559 21258 23412 27163 35118 42516 44873 54326 70236 81489 89746 108652 134619 162978 179492 244467 269238 325956 403857 488934 538476 807714 977868 1615428 2304131 4608262 6912393 9216524 13824786 20737179 27649572 41474358 52995013 82948716 105990026 158985039 211980052 317970078 476955117 635940156 953910234 1907820468