Search a number
-
+
20090160 = 2433571131
BaseRepresentation
bin100110010100…
…0110100110000
31101210200112000
41030220310300
520120341120
61554334000
7332522616
oct114506460
941720460
1020090160
1110382042
12688a300
13421548c
14294d6b6
151b6c990
hex1328d30

20090160 has 160 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 5241600.

The previous prime is 20090143. The next prime is 20090173. The reversal of 20090160 is 6109002.

It is a super-2 number, since 2×200901602 = 807229057651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153295 + ... + 153425.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 220090160 is an apocalyptic number.

20090160 is a gapful number since it is divisible by the number (20) 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 20090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

20090160 is an abundant number, since it is smaller than the sum of its proper divisors (50619600).

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

20090160 is a wasteful number, since it uses less digits than its factorization.

20090160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20090160 is about 4482.2048145974. The cubic root of 20090160 is about 271.8490367597.

Adding to 20090160 its reverse (6109002), we get a palindrome (26199162).

The spelling of 20090160 in words is "twenty million, ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 131 135 142 144 180 213 216 240 262 270 284 355 360 393 426 432 524 540 568 639 655 710 720 786 852 1048 1065 1080 1136 1179 1278 1310 1420 1572 1704 1917 1965 2096 2130 2160 2358 2556 2620 2840 3144 3195 3408 3537 3834 3930 4260 4716 5112 5240 5680 5895 6288 6390 7074 7668 7860 8520 9301 9432 9585 10224 10480 11790 12780 14148 15336 15720 17040 17685 18602 18864 19170 23580 25560 27903 28296 30672 31440 35370 37204 38340 46505 47160 51120 55806 56592 70740 74408 76680 83709 93010 94320 111612 139515 141480 148816 153360 167418 186020 223224 251127 279030 282960 334836 372040 418545 446448 502254 558060 669672 744080 837090 1004508 1116120 1255635 1339344 1674180 2009016 2232240 2511270 3348360 4018032 5022540 6696720 10045080 20090160