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20150160 = 2435113743
BaseRepresentation
bin100110011011…
…1011110010000
31101220201211020
41030313132100
520124301120
61555515440
7333162552
oct114673620
941821736
1020150160
1110413128
1268b8b80
134236894
1429674d2
151b80640
hex1337790

20150160 has 80 divisors (see below), whose sum is σ = 63103104. Its totient is φ = 5318656.

The previous prime is 20150153. The next prime is 20150161. The reversal of 20150160 is 6105102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20150161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26749 + ... + 27491.

Almost surely, 220150160 is an apocalyptic number.

20150160 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 20150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551552).

20150160 is an abundant number, since it is smaller than the sum of its proper divisors (42952944).

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

20150160 is a wasteful number, since it uses less digits than its factorization.

20150160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 20150160 is about 4488.8929592941. The cubic root of 20150160 is about 272.1193968323.

Adding to 20150160 its reverse (6105102), we get a palindrome (26255262).

The spelling of 20150160 in words is "twenty million, one hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 743 904 1130 1356 1486 1695 1808 2229 2260 2712 2972 3390 3715 4458 4520 5424 5944 6780 7430 8916 9040 11145 11888 13560 14860 17832 22290 27120 29720 35664 44580 59440 83959 89160 167918 178320 251877 335836 419795 503754 671672 839590 1007508 1259385 1343344 1679180 2015016 2518770 3358360 4030032 5037540 6716720 10075080 20150160