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1906689564 = 2233132946829
BaseRepresentation
bin111000110100101…
…1100011000011100
311220212202212101000
41301221130120130
512401103031224
6513110550300
765151410463
oct16151343034
94825685330
101906689564
118993050aa
12452668390
132450366a0
141413299da
15b25d00c9
hex71a5c61c

1906689564 has 96 divisors (see below), whose sum is σ = 5507208000. Its totient is φ = 566431488.

The previous prime is 1906689557. The next prime is 1906689613. The reversal of 1906689564 is 4659866091.

It is a happy number.

1906689564 is a `hidden beast` number, since 19 + 0 + 6 + 68 + 9 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1906689564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17302 + ... + 64130.

It is an arithmetic number, because the mean of its divisors is an integer number (57366750).

Almost surely, 21906689564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1906689564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753604000).

1906689564 is an abundant number, since it is smaller than the sum of its proper divisors (3600518436).

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

1906689564 is a wasteful number, since it uses less digits than its factorization.

1906689564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46884 (or 46876 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1906689564 is about 43665.6565735590. The cubic root of 1906689564 is about 1240.0142133300.

The spelling of 1906689564 in words is "one billion, nine hundred six million, six hundred eighty-nine thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1508 1566 2262 3132 3393 4524 6786 10179 13572 20358 40716 46829 93658 140487 187316 280974 421461 561948 608777 842922 1217554 1264383 1358041 1685844 1826331 2435108 2528766 2716082 3652662 4074123 5057532 5432164 5478993 7305324 8148246 10957986 12222369 16296492 16436979 17654533 21915972 24444738 32873958 35309066 36667107 48889476 52963599 65747916 70618132 73334214 105927198 146668428 158890797 211854396 317781594 476672391 635563188 953344782 1906689564