Search a number
-
+
2091065382 = 234717313499
BaseRepresentation
bin111110010100011…
…0010000000100110
312101201201010110000
41330220302000212
513240303043012
6543254442130
7102550522350
oct17450620046
95351633400
102091065382
1198339640a
124a4363346
132742b01c3
1415ba020d0
15c389eddc
hex7ca32026

2091065382 has 160 divisors (see below), whose sum is σ = 5854464000. Its totient is φ = 544008960.

The previous prime is 2091065371. The next prime is 2091065393. The reversal of 2091065382 is 2835601902.

2091065382 is a `hidden beast` number, since 209 + 10 + 65 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (2091065371) and next prime (2091065393).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 595869 + ... + 599367.

It is an arithmetic number, because the mean of its divisors is an integer number (36590400).

Almost surely, 22091065382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091065382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232000).

2091065382 is an abundant number, since it is smaller than the sum of its proper divisors (3763398618).

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

2091065382 is a wasteful number, since it uses less digits than its factorization.

2091065382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2091065382 is about 45728.1683648055. The cubic root of 2091065382 is about 1278.7604744543.

The spelling of 2091065382 in words is "two billion, ninety-one million, sixty-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 31 34 42 51 54 62 63 81 93 102 119 126 153 162 186 189 217 238 279 306 357 378 434 459 527 558 567 651 714 837 918 1054 1071 1134 1302 1377 1581 1674 1953 2142 2511 2754 3162 3213 3499 3689 3906 4743 5022 5859 6426 6998 7378 9486 9639 10497 11067 11718 14229 17577 19278 20994 22134 24493 28458 31491 33201 35154 42687 48986 59483 62982 66402 73479 85374 94473 99603 108469 118966 146958 178449 188946 199206 216938 220437 283419 298809 325407 356898 416381 440874 535347 566838 597618 650814 661311 759283 832762 976221 1070694 1249143 1322622 1518566 1606041 1843973 1952442 1983933 2277849 2498286 2928663 3212082 3687946 3747429 3967866 4555698 4818123 5531919 5857326 6833547 7494858 8785989 9636246 11063838 11242287 12907811 13667094 16595757 17571978 20500641 22484574 25815622 33191514 33726861 38723433 41001282 49787271 61501923 67453722 77446866 99574542 116170299 123003846 149361813 232340598 298723626 348510897 697021794 1045532691 2091065382