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20771640 = 233552137
BaseRepresentation
bin100111100111…
…1001100111000
31110002022100000
41033033030320
520304143030
62021113000
7341361501
oct117171470
943068300
1020771640
11107a804a
126b58760
1343c3716
142a89ba8
151c54860
hex13cf338

20771640 has 96 divisors (see below), whose sum is σ = 70040880. Its totient is φ = 5536512.

The previous prime is 20771633. The next prime is 20771651. The reversal of 20771640 is 4617702.

It is a super-2 number, since 2×207716402 = 862922056579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8652 + ... + 10788.

Almost surely, 220771640 is an apocalyptic number.

20771640 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 20771640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020440).

20771640 is an abundant number, since it is smaller than the sum of its proper divisors (49269240).

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

20771640 is a wasteful number, since it uses less digits than its factorization.

20771640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20771640 is about 4557.5914691863. The cubic root of 20771640 is about 274.8887263311. Note that the first 3 decimals are identical.

The spelling of 20771640 in words is "twenty million, seven hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2137 2430 3240 4274 4860 6411 8548 9720 10685 12822 17096 19233 21370 25644 32055 38466 42740 51288 57699 64110 76932 85480 96165 115398 128220 153864 173097 192330 230796 256440 288495 346194 384660 461592 519291 576990 692388 769320 865485 1038582 1153980 1384776 1730970 2077164 2307960 2596455 3461940 4154328 5192910 6923880 10385820 20771640