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20090640 = 243597863
BaseRepresentation
bin100110010100…
…0111100010000
31101210201011210
41030220330100
520120400030
61554340120
7332524203
oct114507420
941721153
1020090640
1110382439
12688a640
13421576b
14294d93a
151b6cbb0
hex1328f10

20090640 has 80 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5296128.

The previous prime is 20090627. The next prime is 20090647. The reversal of 20090640 is 4609002.

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

It is not an unprimeable number, because it can be changed into a prime (20090647) 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, 22849 + ... + 23711.

Almost surely, 220090640 is an apocalyptic number.

20090640 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 20090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20090640 is an abundant number, since it is smaller than the sum of its proper divisors (42905328).

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

20090640 is a wasteful number, since it uses less digits than its factorization.

20090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20090640 is about 4482.2583593541. The cubic root of 20090640 is about 271.8512017748.

Adding to 20090640 its reverse (4609002), we get a palindrome (24699642).

The spelling of 20090640 in words is "twenty million, ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 863 970 1164 1455 1552 1726 1940 2328 2589 2910 3452 3880 4315 4656 5178 5820 6904 7760 8630 10356 11640 12945 13808 17260 20712 23280 25890 34520 41424 51780 69040 83711 103560 167422 207120 251133 334844 418555 502266 669688 837110 1004532 1255665 1339376 1674220 2009064 2511330 3348440 4018128 5022660 6696880 10045320 20090640