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20110920 = 2335295779
BaseRepresentation
bin100110010110…
…1111001001000
31101211201222220
41030231321020
520122022140
61555014040
7332640264
oct114557110
941751886
1020110920
11103966a5
12689a320
134221a6b
1429570a4
151b73bd0
hex132de48

20110920 has 64 divisors (see below), whose sum is σ = 62424000. Its totient is φ = 5177088.

The previous prime is 20110879. The next prime is 20110927. The reversal of 20110920 is 2901102.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20110920.

It is not an unprimeable number, because it can be changed into a prime (20110927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (975375).

Almost surely, 220110920 is an apocalyptic number.

20110920 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 20110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31212000).

20110920 is an abundant number, since it is smaller than the sum of its proper divisors (42313080).

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

20110920 is a wasteful number, since it uses less digits than its factorization.

20110920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 20110920 is about 4484.5200412084. The cubic root of 20110920 is about 271.9426421731.

The spelling of 20110920 in words is "twenty million, one hundred ten thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 5779 11558 17337 23116 28895 34674 46232 57790 69348 86685 115580 138696 167591 173370 231160 335182 346740 502773 670364 693480 837955 1005546 1340728 1675910 2011092 2513865 3351820 4022184 5027730 6703640 10055460 20110920