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20608440 = 2335199863
BaseRepresentation
bin100111010011…
…1010110111000
31102210000110120
41032213112320
520233432230
62013413240
7340111626
oct116472670
942700416
1020608440
11106a6476
126a9a220
134367358
142a46516
151c21310
hex13a75b8

20608440 has 64 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5461632.

The previous prime is 20608439. The next prime is 20608453. The reversal of 20608440 is 4480602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20608440.

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, 23449 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 220608440 is an apocalyptic number.

20608440 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 20608440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

20608440 is an abundant number, since it is smaller than the sum of its proper divisors (41599560).

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

20608440 is a wasteful number, since it uses less digits than its factorization.

20608440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20608440 is about 4539.6519690390. The cubic root of 20608440 is about 274.1669112852.

The spelling of 20608440 in words is "twenty million, six hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 863 995 1194 1592 1726 1990 2388 2589 2985 3452 3980 4315 4776 5178 5970 6904 7960 8630 10356 11940 12945 17260 20712 23880 25890 34520 51780 103560 171737 343474 515211 686948 858685 1030422 1373896 1717370 2060844 2576055 3434740 4121688 5152110 6869480 10304220 20608440