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20106160 = 245972591
BaseRepresentation
bin100110010110…
…0101110110000
31101211111110121
41030230232300
520121344120
61554540024
7332620354
oct114545660
941744417
1020106160
1110393068
126897614
13421c849
142955464
151b725aa
hex132cbb0

20106160 has 40 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 7956480.

The previous prime is 20106157. The next prime is 20106167. The reversal of 20106160 is 6160102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20106167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6465 + ... + 9055.

Almost surely, 220106160 is an apocalyptic number.

20106160 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 20106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

20106160 is an abundant number, since it is smaller than the sum of its proper divisors (27140816).

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

20106160 is a wasteful number, since it uses less digits than its factorization.

20106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 20106160 is about 4483.9892952593. The cubic root of 20106160 is about 271.9211853541.

Adding to 20106160 its reverse (6160102), we get a palindrome (26266262).

The spelling of 20106160 in words is "twenty million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 2591 3880 5182 7760 10364 12955 20728 25910 41456 51820 103640 207280 251327 502654 1005308 1256635 2010616 2513270 4021232 5026540 10053080 20106160