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19445040 = 24325113239
BaseRepresentation
bin100101000101…
…1010100110000
31100120220120200
41022023110300
514434220130
61532435200
7324165036
oct112132460
940526520
1019445040
11aa8138a
126618b00
13404a954
142822556
151a91760
hex128b530

19445040 has 120 divisors (see below), whose sum is σ = 66156480. Its totient is φ = 5117952.

The previous prime is 19445033. The next prime is 19445057. The reversal of 19445040 is 4054491.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 19444995 and 19445013.

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, 81241 + ... + 81479.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 219445040 is an apocalyptic number.

19445040 is a gapful number since it is divisible by the number (10) 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 19445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

19445040 is an abundant number, since it is smaller than the sum of its proper divisors (46711440).

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

19445040 is a wasteful number, since it uses less digits than its factorization.

19445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 19445040 is about 4409.6530475764. The cubic root of 19445040 is about 268.9075196991.

The spelling of 19445040 in words is "nineteen million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 239 240 339 360 452 478 565 678 717 720 904 956 1017 1130 1195 1356 1434 1695 1808 1912 2034 2151 2260 2390 2712 2868 3390 3585 3824 4068 4302 4520 4780 5085 5424 5736 6780 7170 8136 8604 9040 9560 10170 10755 11472 13560 14340 16272 17208 19120 20340 21510 27007 27120 28680 34416 40680 43020 54014 57360 81021 81360 86040 108028 135035 162042 172080 216056 243063 270070 324084 405105 432112 486126 540140 648168 810210 972252 1080280 1215315 1296336 1620420 1944504 2160560 2430630 3240840 3889008 4861260 6481680 9722520 19445040