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20883240 = 2332578287
BaseRepresentation
bin100111110101…
…0011100101000
31110021222102100
41033222130220
520321230430
62023333400
7342335040
oct117523450
943258370
1020883240
1110873984
126bb1260
134432461
142ab8720
151c77960
hex13ea728

20883240 has 96 divisors (see below), whose sum is σ = 77575680. Its totient is φ = 4772736.

The previous prime is 20883229. The next prime is 20883253. The reversal of 20883240 is 4238802.

It is a super-2 number, since 2×208832402 = 872219425795200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624 + ... + 6663.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 220883240 is an apocalyptic number.

20883240 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 20883240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787840).

20883240 is an abundant number, since it is smaller than the sum of its proper divisors (56692440).

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

20883240 is a wasteful number, since it uses less digits than its factorization.

20883240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20883240 is about 4569.8183771349. The cubic root of 20883240 is about 275.3801464385.

The spelling of 20883240 in words is "twenty million, eight hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8287 16574 24861 33148 41435 49722 58009 66296 74583 82870 99444 116018 124305 149166 165740 174027 198888 232036 248610 290045 298332 331480 348054 372915 464072 497220 522081 580090 596664 696108 745830 870135 994440 1044162 1160180 1392216 1491660 1740270 2088324 2320360 2610405 2983320 3480540 4176648 5220810 6961080 10441620 20883240