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19881420 = 22351371359
BaseRepresentation
bin100101111010…
…1110111001100
31101102002011220
41023311313030
520042201140
61550043340
7330663216
oct113656714
941362156
1019881420
111024a229
1267a9550
134171470
1428d75b6
151b2abd0
hex12f5dcc

19881420 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 4811520.

The previous prime is 19881419. The next prime is 19881427. The reversal of 19881420 is 2418891.

It is a super-2 number, since 2×198814202 = 790541722432800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19881427) 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, 55201 + ... + 55559.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 219881420 is an apocalyptic number.

19881420 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 19881420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

19881420 is an abundant number, since it is smaller than the sum of its proper divisors (41082420).

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

19881420 is a wasteful number, since it uses less digits than its factorization.

19881420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 19881420 is about 4458.8585983411. The cubic root of 19881420 is about 270.9042385291.

It can be divided in two parts, 19881 and 420, that added together give a triangular number (20301 = T201).

The spelling of 19881420 in words is "nineteen million, eight hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 359 390 426 710 718 780 852 923 1065 1077 1420 1436 1795 1846 2130 2154 2769 3590 3692 4260 4308 4615 4667 5385 5538 7180 9230 9334 10770 11076 13845 14001 18460 18668 21540 23335 25489 27690 28002 46670 50978 55380 56004 70005 76467 93340 101956 127445 140010 152934 254890 280020 305868 331357 382335 509780 662714 764670 994071 1325428 1529340 1656785 1988142 3313570 3976284 4970355 6627140 9940710 19881420