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19740060 = 22325176451
BaseRepresentation
bin100101101001…
…1010110011100
31101010220021100
41023103112130
520023140220
61543033100
7326534124
oct113232634
941126240
1019740060
1110162aaa
12673b790
134122012
14289bc84
151aedd90
hex12d359c

19740060 has 72 divisors (see below), whose sum is σ = 63410256. Its totient is φ = 4953600.

The previous prime is 19740023. The next prime is 19740067. The reversal of 19740060 is 6004791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19740067) by changing a digit.

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, 166 + ... + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (880698).

Almost surely, 219740060 is an apocalyptic number.

19740060 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 19740060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31705128).

19740060 is an abundant number, since it is smaller than the sum of its proper divisors (43670196).

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

19740060 is a wasteful number, since it uses less digits than its factorization.

19740060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 19740060 is about 4442.9787305365. The cubic root of 19740060 is about 270.2606536380.

The spelling of 19740060 in words is "nineteen million, seven hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6451 12902 19353 25804 32255 38706 58059 64510 77412 96765 109667 116118 129020 193530 219334 232236 290295 329001 387060 438668 548335 580590 658002 987003 1096670 1161180 1316004 1645005 1974006 2193340 3290010 3948012 4935015 6580020 9870030 19740060