Search a number
-
+
20048420 = 2257197537
BaseRepresentation
bin100110001111…
…0101000100100
31101201120021002
41030132220210
520113022140
61553412432
7332260130
oct114365044
941646232
1020048420
1110353747
12686a118
1341cc492
14293c3c0
151b60415
hex131ea24

20048420 has 48 divisors (see below), whose sum is σ = 50655360. Its totient is φ = 6511104.

The previous prime is 20048419. The next prime is 20048437. The reversal of 20048420 is 2484002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20048392 and 20048401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109 + ... + 6428.

It is an arithmetic number, because the mean of its divisors is an integer number (1055320).

Almost surely, 220048420 is an apocalyptic number.

20048420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20048420 is an abundant number, since it is smaller than the sum of its proper divisors (30606940).

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

20048420 is a wasteful number, since it uses less digits than its factorization.

20048420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 20048420 is about 4477.5462030000. The cubic root of 20048420 is about 271.6606386224.

The spelling of 20048420 in words is "twenty million, forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 7537 15074 30148 37685 52759 75370 105518 143203 150740 211036 263795 286406 527590 572812 716015 1002421 1055180 1432030 2004842 2864060 4009684 5012105 10024210 20048420