Search a number
-
+
21419820 = 22325127937
BaseRepresentation
bin101000110110…
…1011100101100
31111022020110200
41101231130230
520440413240
62043033500
7350031312
oct121553454
944266420
1021419820
1111100034
12720b890
13458c766
142bb80b2
151d31930
hex146d72c

21419820 has 72 divisors (see below), whose sum is σ = 65554944. Its totient is φ = 5660928.

The previous prime is 21419807. The next prime is 21419837. The reversal of 21419820 is 2891412.

It is an unprimeable number.

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, 22392 + ... + 23328.

Almost surely, 221419820 is an apocalyptic number.

21419820 is a gapful number since it is divisible by the number (20) 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 21419820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32777472).

21419820 is an abundant number, since it is smaller than the sum of its proper divisors (44135124).

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

21419820 is a wasteful number, since it uses less digits than its factorization.

21419820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21419820 is about 4628.1551400099. The cubic root of 21419820 is about 277.7187950618.

The spelling of 21419820 in words is "twenty-one million, four hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 937 1143 1270 1524 1874 1905 2286 2540 2811 3748 3810 4572 4685 5622 5715 7620 8433 9370 11244 11430 14055 16866 18740 22860 28110 33732 42165 56220 84330 118999 168660 237998 356997 475996 594995 713994 1070991 1189990 1427988 1784985 2141982 2379980 3569970 4283964 5354955 7139940 10709910 21419820