Search a number
-
+
161420160 = 2735117643
BaseRepresentation
bin10011001111100…
…01001110000000
3102020201222211110
421213301032000
5312310421120
624003443320
74000022466
oct1147611600
9366658743
10161420160
11831323a0
1246086540
1327599cb5
141761c836
15e2882e0
hex99f1380

161420160 has 128 divisors (see below), whose sum is σ = 561375360. Its totient is φ = 39127040.

The previous prime is 161420153. The next prime is 161420173. The reversal of 161420160 is 61024161.

It is a tau number, because it is divible by the number of its divisors (128).

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, 17299 + ... + 24941.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2161420160 is an apocalyptic number.

161420160 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 161420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

161420160 is an abundant number, since it is smaller than the sum of its proper divisors (399955200).

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

161420160 is a wasteful number, since it uses less digits than its factorization.

161420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 161420160 is about 12705.1233760243. The cubic root of 161420160 is about 544.4850057553.

The spelling of 161420160 in words is "one hundred sixty-one million, four hundred twenty thousand, one 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 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 7643 10560 15286 21120 22929 30572 38215 45858 61144 76430 84073 91716 114645 122288 152860 168146 183432 229290 244576 252219 305720 336292 366864 420365 458580 489152 504438 611440 672584 733728 840730 917160 978304 1008876 1222880 1261095 1345168 1467456 1681460 1834320 2017752 2445760 2522190 2690336 2934912 3362920 3668640 4035504 4891520 5044380 5380672 6725840 7337280 8071008 10088760 10761344 13451680 14674560 16142016 20177520 26903360 32284032 40355040 53806720 80710080 161420160