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1920773934 = 2321771211419
BaseRepresentation
bin111001001111100…
…1010111100101110
311221212021102111100
41302133022330232
512413204231214
6514332503530
765412211002
oct16237127456
94855242440
101920773934
118a6254982
1245731aba6
13247c28331
14143154702
15b3963309
hex727caf2e

1920773934 has 96 divisors (see below), whose sum is σ = 4500437760. Its totient is φ = 589881600.

The previous prime is 1920773891. The next prime is 1920773947. The reversal of 1920773934 is 4393770291.

1920773934 is a `hidden beast` number, since 192 + 0 + 77 + 393 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1920773934.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4583977 + ... + 4584395.

It is an arithmetic number, because the mean of its divisors is an integer number (46879560).

Almost surely, 21920773934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920773934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250218880).

1920773934 is an abundant number, since it is smaller than the sum of its proper divisors (2579663826).

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

1920773934 is a wasteful number, since it uses less digits than its factorization.

1920773934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1920773934 is about 43826.6349837630. The cubic root of 1920773934 is about 1243.0599794536.

The spelling of 1920773934 in words is "one billion, nine hundred twenty million, seven hundred seventy-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 211 213 306 419 422 426 633 639 838 1207 1257 1266 1278 1899 2414 2514 3587 3621 3771 3798 7123 7174 7242 7542 10761 10863 14246 14981 21369 21522 21726 29749 29962 32283 42738 44943 59498 64107 64566 88409 89247 89886 128214 134829 176818 178494 254677 265227 267741 269658 505733 509354 530454 535482 764031 795681 1011466 1502953 1517199 1528062 1591362 2292093 3005906 3034398 4508859 4551597 4584186 6277039 9017718 9103194 12554078 13526577 18831117 27053154 37662234 56493351 106709663 112986702 213419326 320128989 640257978 960386967 1920773934