Search a number
-
+
161406720 = 2832514011
BaseRepresentation
bin10011001111011…
…01111100000000
3102020201022101200
421213231330000
5312310003340
624003301200
73666635346
oct1147557400
9366638350
10161406720
1183123292
124607a800
1327593b47
1417617996
15e284330
hex99edf00

161406720 has 108 divisors (see below), whose sum is σ = 558490296. Its totient is φ = 43038720.

The previous prime is 161406701. The next prime is 161406743. The reversal of 161406720 is 27604161.

161406720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1614067203 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4515 + ... + 18525.

Almost surely, 2161406720 is an apocalyptic number.

161406720 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 161406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279245148).

161406720 is an abundant number, since it is smaller than the sum of its proper divisors (397083576).

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

161406720 is a wasteful number, since it uses less digits than its factorization.

161406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14038 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 161406720 is about 12704.5944445307. The cubic root of 161406720 is about 544.4698938850.

The spelling of 161406720 in words is "one hundred sixty-one million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 14011 28022 42033 56044 70055 84066 112088 126099 140110 168132 210165 224176 252198 280220 336264 420330 448352 504396 560440 630495 672528 840660 896704 1008792 1120880 1260990 1345056 1681320 1793408 2017584 2241760 2521980 2690112 3362640 3586816 4035168 4483520 5043960 5380224 6725280 8070336 8967040 10087920 10760448 13450560 16140672 17934080 20175840 26901120 32281344 40351680 53802240 80703360 161406720