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20063160 = 23335131429
BaseRepresentation
bin100110010001…
…0001110111000
31101202022111000
41030202032320
520114010120
61554005000
7332351115
oct114421670
941668430
1020063160
1110363827
126876760
1342060c0
14294390c
151b64990
hex13223b8

20063160 has 128 divisors (see below), whose sum is σ = 72072000. Its totient is φ = 4935168.

The previous prime is 20063159. The next prime is 20063167. The reversal of 20063160 is 6136002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20063167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13326 + ... + 14754.

Almost surely, 220063160 is an apocalyptic number.

20063160 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 20063160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036000).

20063160 is an abundant number, since it is smaller than the sum of its proper divisors (52008840).

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

20063160 is a wasteful number, since it uses less digits than its factorization.

20063160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20063160 is about 4479.1918914018. The cubic root of 20063160 is about 271.7271990940.

Adding to 20063160 its reverse (6136002), we get a palindrome (26199162).

The spelling of 20063160 in words is "twenty million, sixty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1429 1560 1755 2340 2808 2858 3510 4287 4680 5716 7020 7145 8574 11432 12861 14040 14290 17148 18577 21435 25722 28580 34296 37154 38583 42870 51444 55731 57160 64305 74308 77166 85740 92885 102888 111462 128610 148616 154332 167193 171480 185770 192915 222924 257220 278655 308664 334386 371540 385830 445848 501579 514440 557310 668772 743080 771660 835965 1003158 1114620 1337544 1543320 1671930 2006316 2229240 2507895 3343860 4012632 5015790 6687720 10031580 20063160