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19380420 = 22325671607
BaseRepresentation
bin100100111101…
…1100011000100
31100110121221100
41021323203010
514430133140
61531220100
7323505453
oct111734304
940417840
1019380420
11aa37884
1265a7630
134027407
142806b9a
151a7c530
hex127b8c4

19380420 has 72 divisors (see below), whose sum is σ = 59701824. Its totient is φ = 5087808.

The previous prime is 19380419. The next prime is 19380451. The reversal of 19380420 is 2408391.

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, 11257 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (829192).

Almost surely, 219380420 is an apocalyptic number.

19380420 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 19380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29850912).

19380420 is an abundant number, since it is smaller than the sum of its proper divisors (40321404).

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

19380420 is a wasteful number, since it uses less digits than its factorization.

19380420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19380420 is about 4402.3198429919. The cubic root of 19380420 is about 268.6093101732.

The spelling of 19380420 in words is "nineteen million, three hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 1607 2010 2412 3015 3214 4020 4821 6030 6428 8035 9642 12060 14463 16070 19284 24105 28926 32140 48210 57852 72315 96420 107669 144630 215338 289260 323007 430676 538345 646014 969021 1076690 1292028 1615035 1938042 2153380 3230070 3876084 4845105 6460140 9690210 19380420