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1907806212 = 22321329313913
BaseRepresentation
bin111000110110110…
…1101000000000100
311220221212121010100
41301231231000010
512401344244322
6513150524100
765164041144
oct16155550004
94827777110
101907806212
118999a8054
12452b06630
13245337a20
1414153a924
15b2750dac
hex71b6d004

1907806212 has 72 divisors (see below), whose sum is σ = 5211572184. Its totient is φ = 584971776.

The previous prime is 1907806189. The next prime is 1907806213. The reversal of 1907806212 is 2126087091.

It can be written as a sum of positive squares in 4 ways, for example, as 515471616 + 1392334596 = 22704^2 + 37314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1907806213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130168 + ... + 144080.

It is an arithmetic number, because the mean of its divisors is an integer number (72382947).

Almost surely, 21907806212 is an apocalyptic number.

1907806212 is a gapful number since it is divisible by the number (12) 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 1907806212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605786092).

1907806212 is an abundant number, since it is smaller than the sum of its proper divisors (3303765972).

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

1907806212 is a wasteful number, since it uses less digits than its factorization.

1907806212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1907806212 is about 43678.4410436087. The cubic root of 1907806212 is about 1240.2562365025.

The spelling of 1907806212 in words is "one billion, nine hundred seven million, eight hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 293 468 586 879 1172 1758 2637 3516 3809 5274 7618 10548 11427 13913 15236 22854 27826 34281 41739 45708 55652 68562 83478 125217 137124 166956 180869 250434 361738 500868 542607 723476 1085214 1627821 2170428 3255642 4076509 6511284 8153018 12229527 16306036 24459054 36688581 48918108 52994617 73377162 105989234 146754324 158983851 211978468 317967702 476951553 635935404 953903106 1907806212