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20669040 = 2433571367
BaseRepresentation
bin100111011011…
…0001001110000
31102220002121000
41032312021300
520242402130
62015002000
7340453410
oct116661160
942802530
1020669040
1110737a57
126b09300
134388b02
142a60640
151c34260
hex13b6270

20669040 has 160 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 4720896.

The previous prime is 20669039. The next prime is 20669041. The reversal of 20669040 is 4096602.

It is an interprime number because it is at equal distance from previous prime (20669039) and next prime (20669041).

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

It is a junction number, because it is equal to n+sod(n) for n = 20668995 and 20669013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20669041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14437 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 220669040 is an apocalyptic number.

20669040 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 20669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

20669040 is an abundant number, since it is smaller than the sum of its proper divisors (60754320).

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

20669040 is a wasteful number, since it uses less digits than its factorization.

20669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20669040 is about 4546.3215900330. The cubic root of 20669040 is about 274.4353814871.

The spelling of 20669040 in words is "twenty million, six hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1367 1512 1680 1890 2160 2520 2734 3024 3780 4101 5040 5468 6835 7560 8202 9569 10936 12303 13670 15120 16404 19138 20505 21872 24606 27340 28707 32808 36909 38276 41010 47845 49212 54680 57414 61515 65616 73818 76552 82020 86121 95690 98424 109360 114828 123030 143535 147636 153104 164040 172242 184545 191380 196848 229656 246060 258363 287070 295272 328080 344484 369090 382760 430605 459312 492120 516726 574140 590544 688968 738180 765520 861210 984240 1033452 1148280 1291815 1377936 1476360 1722420 2066904 2296560 2583630 2952720 3444840 4133808 5167260 6889680 10334520 20669040