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19061980 = 2257253367
BaseRepresentation
bin100100010110…
…1110011011100
31022212110010021
41020231303130
514334440410
61520321524
7321011200
oct110556334
938773107
1019061980
11a83a603
1264732a4
133c454a2
142762b00
151a17eda
hex122dcdc

19061980 has 72 divisors (see below), whose sum is σ = 47573568. Its totient is φ = 6394752.

The previous prime is 19061971. The next prime is 19061983. The reversal of 19061980 is 8916091.

19061980 = T239 + T240 + ... + T503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19061983) 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, 51757 + ... + 52123.

It is an arithmetic number, because the mean of its divisors is an integer number (660744).

Almost surely, 219061980 is an apocalyptic number.

19061980 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 19061980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786784).

19061980 is an abundant number, since it is smaller than the sum of its proper divisors (28511588).

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

19061980 is a wasteful number, since it uses less digits than its factorization.

19061980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 19061980 is about 4366.0027485104. The cubic root of 19061980 is about 267.1300035077.

The spelling of 19061980 in words is "nineteen million, sixty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 367 371 490 530 734 742 980 1060 1468 1484 1835 1855 2569 2597 3670 3710 5138 5194 7340 7420 10276 10388 12845 12985 17983 19451 25690 25970 35966 38902 51380 51940 71932 77804 89915 97255 136157 179830 194510 272314 359660 389020 544628 680785 953099 1361570 1906198 2723140 3812396 4765495 9530990 19061980