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20966640 = 2435199439
BaseRepresentation
bin100111111111…
…0110011110000
31110110012211020
41033332303300
520331413030
62025215440
7343133142
oct117766360
943405736
1020966640
1110920602
127031580
1344613c6
142adac92
151c92510
hex13fecf0

20966640 has 80 divisors (see below), whose sum is σ = 65472000. Its totient is φ = 5550336.

The previous prime is 20966611. The next prime is 20966651. The reversal of 20966640 is 4666902.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47541 + ... + 47979.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 220966640 is an apocalyptic number.

20966640 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 20966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736000).

20966640 is an abundant number, since it is smaller than the sum of its proper divisors (44505360).

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

20966640 is a wasteful number, since it uses less digits than its factorization.

20966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 20966640 is about 4578.9343738473. The cubic root of 20966640 is about 275.7462486068.

The spelling of 20966640 in words is "twenty million, nine hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 439 597 796 878 995 1194 1317 1592 1756 1990 2195 2388 2634 2985 3184 3512 3980 4390 4776 5268 5970 6585 7024 7960 8780 9552 10536 11940 13170 15920 17560 21072 23880 26340 35120 47760 52680 87361 105360 174722 262083 349444 436805 524166 698888 873610 1048332 1310415 1397776 1747220 2096664 2620830 3494440 4193328 5241660 6988880 10483320 20966640