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160801340 = 22572316779
BaseRepresentation
bin10011001010110…
…10001000111100
3102012120112222012
421211122020330
5312131120330
623542310352
73661534400
oct1145321074
9365515865
10160801340
118284a477
1245a283b8
132741142b
14174db100
15e1b4c95
hex995a23c

160801340 has 144 divisors (see below), whose sum is σ = 416747520. Its totient is φ = 51891840.

The previous prime is 160801337. The next prime is 160801343. The reversal of 160801340 is 43108061.

It is an interprime number because it is at equal distance from previous prime (160801337) and next prime (160801343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160801343) 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 47 ways as a sum of consecutive naturals, for example, 2035421 + ... + 2035499.

It is an arithmetic number, because the mean of its divisors is an integer number (2894080).

Almost surely, 2160801340 is an apocalyptic number.

160801340 is a gapful number since it is divisible by the number (10) 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 160801340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

160801340 is an abundant number, since it is smaller than the sum of its proper divisors (255946180).

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

160801340 is a wasteful number, since it uses less digits than its factorization.

160801340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 160801340 is about 12680.7468234328. The cubic root of 160801340 is about 543.7883358712.

The spelling of 160801340 in words is "one hundred sixty million, eight hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 67 70 79 98 124 134 140 155 158 196 217 245 268 310 316 335 395 434 469 490 553 620 670 790 868 938 980 1085 1106 1340 1519 1580 1876 2077 2170 2212 2345 2449 2765 3038 3283 3871 4154 4340 4690 4898 5293 5530 6076 6566 7595 7742 8308 9380 9796 10385 10586 11060 12245 13132 14539 15190 15484 16415 17143 19355 20770 21172 24490 26465 29078 30380 32830 34286 37051 38710 41540 48980 52930 58156 65660 68572 72695 74102 77420 85715 101773 105860 120001 145390 148204 164083 171430 185255 203546 240002 259357 290780 328166 342860 370510 407092 480004 508865 518714 600005 656332 741020 820415 1017730 1037428 1148581 1200010 1296785 1640830 2035460 2297162 2400020 2593570 3281660 4594324 5187140 5742905 8040067 11485810 16080134 22971620 32160268 40200335 80400670 160801340