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19378980 = 22335172111
BaseRepresentation
bin100100111101…
…1001100100100
31100110112222000
41021323030210
514430111410
61531205300
7323501325
oct111731444
940415860
1019378980
11aa36795
1265a6830
13402686a
14280644c
151a7bdc0
hex127b324

19378980 has 96 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 4861440.

The previous prime is 19378969. The next prime is 19378987. The reversal of 19378980 is 8987391.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19378987) 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, 8125 + ... + 10235.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 219378980 is an apocalyptic number.

19378980 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 19378980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

19378980 is an abundant number, since it is smaller than the sum of its proper divisors (44487900).

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

19378980 is a wasteful number, since it uses less digits than its factorization.

19378980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 19378980 is about 4402.1562898198. The cubic root of 19378980 is about 268.6026572904.

The spelling of 19378980 in words is "nineteen million, three hundred seventy-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2111 2295 3060 4222 4590 6333 8444 9180 10555 12666 18999 21110 25332 31665 35887 37998 42220 56997 63330 71774 75996 94995 107661 113994 126660 143548 179435 189990 215322 227988 284985 322983 358870 379980 430644 538305 569970 645966 717740 968949 1076610 1139940 1291932 1614915 1937898 2153220 3229830 3875796 4844745 6459660 9689490 19378980