Search a number
-
+
168970560 = 26351116001
BaseRepresentation
bin10100001001001…
…00100101000000
3102202221121000220
422010210211000
5321224024220
624433343040
74121140353
oct1204444500
9382847026
10168970560
118741a0a0
1248707a80
13290118a5
141862629a
15ec7a540
hexa124940

168970560 has 112 divisors (see below), whose sum is σ = 585289152. Its totient is φ = 40960000.

The previous prime is 168970537. The next prime is 168970589. The reversal of 168970560 is 65079861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (5225796).

Almost surely, 2168970560 is an apocalyptic number.

168970560 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 168970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292644576).

168970560 is an abundant number, since it is smaller than the sum of its proper divisors (416318592).

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

168970560 is a wasteful number, since it uses less digits than its factorization.

168970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 168970560 is about 12998.8676429911. The cubic root of 168970560 is about 552.8453755330.

The spelling of 168970560 in words is "one hundred sixty-eight million, nine hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 16001 32002 48003 64004 80005 96006 128008 160010 176011 192012 240015 256016 320020 352022 384024 480030 512032 528033 640040 704044 768048 880055 960060 1024064 1056066 1280080 1408088 1536096 1760110 1920120 2112132 2560160 2640165 2816176 3072192 3520220 3840240 4224264 5120320 5280330 5632352 7040440 7680480 8448528 10560660 11264704 14080880 15360960 16897056 21121320 28161760 33794112 42242640 56323520 84485280 168970560