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19960080 = 243571092
BaseRepresentation
bin100110000100…
…1000100010000
31101120002002020
41030021010100
520102210310
61551451440
7331441440
oct114110420
941502066
1019960080
11102a3338
126826b80
13419b1ca
142918120
151b44170
hex1309110

19960080 has 120 divisors (see below), whose sum is σ = 71370432. Its totient is φ = 4520448.

The previous prime is 19960079. The next prime is 19960093. The reversal of 19960080 is 8006991.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183066 + ... + 183174.

Almost surely, 219960080 is an apocalyptic number.

19960080 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 19960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35685216).

19960080 is an abundant number, since it is smaller than the sum of its proper divisors (51410352).

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

19960080 is a wasteful number, since it uses less digits than its factorization.

19960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 19960080 is about 4467.6705339584. The cubic root of 19960080 is about 271.2610421153.

The spelling of 19960080 in words is "nineteen million, nine hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 109 112 120 140 168 210 218 240 280 327 336 420 436 545 560 654 763 840 872 1090 1308 1526 1635 1680 1744 2180 2289 2616 3052 3270 3815 4360 4578 5232 6104 6540 7630 8720 9156 11445 11881 12208 13080 15260 18312 22890 23762 26160 30520 35643 36624 45780 47524 59405 61040 71286 83167 91560 95048 118810 142572 166334 178215 183120 190096 237620 249501 285144 332668 356430 415835 475240 499002 570288 665336 712860 831670 950480 998004 1247505 1330672 1425720 1663340 1996008 2495010 2851440 3326680 3992016 4990020 6653360 9980040 19960080