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20114600 = 23521141223
BaseRepresentation
bin100110010111…
…0110010101000
31101211221001012
41030232302220
520122131400
61555043052
7332654102
oct114566250
941757035
1020114600
1110399440
1268a0488
13422363c
142958572
151b74d35
hex132eca8

20114600 has 96 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 7104000.

The previous prime is 20114573. The next prime is 20114651. The reversal of 20114600 is 641102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90089 + ... + 90311.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 220114600 is an apocalyptic number.

20114600 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 20114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

20114600 is an abundant number, since it is smaller than the sum of its proper divisors (32382040).

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

20114600 is a wasteful number, since it uses less digits than its factorization.

20114600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20114600 is about 4484.9303227586. The cubic root of 20114600 is about 271.9592283179.

Adding to 20114600 its reverse (641102), we get a palindrome (20755702).

The spelling of 20114600 in words is "twenty million, one hundred fourteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 223 275 328 410 440 446 451 550 820 892 902 1025 1100 1115 1640 1784 1804 2050 2200 2230 2255 2453 3608 4100 4460 4510 4906 5575 8200 8920 9020 9143 9812 11150 11275 12265 18040 18286 19624 22300 22550 24530 36572 44600 45100 45715 49060 61325 73144 90200 91430 98120 100573 122650 182860 201146 228575 245300 365720 402292 457150 490600 502865 804584 914300 1005730 1828600 2011460 2514325 4022920 5028650 10057300 20114600