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20129040 = 243359319
BaseRepresentation
bin100110011001…
…0010100010000
31101212122212000
41030302110100
520123112130
61555234000
7333044151
oct114622420
941778760
1020129040
11103a9278
1268a8900
13422a099
14295d928
151b79260
hex1332510

20129040 has 80 divisors (see below), whose sum is σ = 69340800. Its totient is φ = 5367168.

The previous prime is 20129023. The next prime is 20129047. The reversal of 20129040 is 4092102.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20129047) 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, 2500 + ... + 6819.

It is an arithmetic number, because the mean of its divisors is an integer number (866760).

Almost surely, 220129040 is an apocalyptic number.

20129040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20129040 is an abundant number, since it is smaller than the sum of its proper divisors (49211760).

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

20129040 is a wasteful number, since it uses less digits than its factorization.

20129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9341 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20129040 is about 4486.5398694317. The cubic root of 20129040 is about 272.0242913715.

It can be divided in two parts, 201 and 29040, that added together give a square (29241 = 1712).

The spelling of 20129040 in words is "twenty million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9319 18638 27957 37276 46595 55914 74552 83871 93190 111828 139785 149104 167742 186380 223656 251613 279570 335484 372760 419355 447312 503226 559140 670968 745520 838710 1006452 1118280 1258065 1341936 1677420 2012904 2236560 2516130 3354840 4025808 5032260 6709680 10064520 20129040