[go: up one dir, main page]

Search a number
-
+
12419820 = 2232579857
BaseRepresentation
bin101111011000…
…001011101100
3212100222210100
4233120023230
511134413240
61122111100
7210365250
oct57301354
925328710
1012419820
117013216
1241ab490
13275b10a
141914260
151154e30
hexbd82ec

12419820 has 72 divisors (see below), whose sum is σ = 43059744. Its totient is φ = 2838528.

The previous prime is 12419807. The next prime is 12419831. The reversal of 12419820 is 2891421.

It is a zygodrome in base 6.

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, 3669 + ... + 6188.

It is an arithmetic number, because the mean of its divisors is an integer number (598052).

Almost surely, 212419820 is an apocalyptic number.

12419820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12419820 is an abundant number, since it is smaller than the sum of its proper divisors (30639924).

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

12419820 is a wasteful number, since it uses less digits than its factorization.

12419820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9874 counting only the distinct ones).

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

The square root of 12419820 is about 3524.1764995528. The cubic root of 12419820 is about 231.5821601156.

The spelling of 12419820 in words is "twelve million, four hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9857 19714 29571 39428 49285 59142 68999 88713 98570 118284 137998 147855 177426 197140 206997 275996 295710 344995 354852 413994 443565 591420 620991 689990 827988 887130 1034985 1241982 1379980 1774260 2069970 2483964 3104955 4139940 6209910 12419820