Search a number
-
+
12420520 = 235726337
BaseRepresentation
bin101111011000…
…010110101000
3212101000202021
4233120112220
511134424040
61122114224
7210400300
oct57302650
925330667
1012420520
1170137a2
1241ab974
13275b528
141914600
15115524a
hexbd85a8

12420520 has 48 divisors (see below), whose sum is σ = 32513940. Its totient is φ = 4257792.

The previous prime is 12420517. The next prime is 12420521. The reversal of 12420520 is 2502421.

12420520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12152196 + 268324 = 3486^2 + 518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12420494 and 12420503.

It is not an unprimeable number, because it can be changed into a prime (12420521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1209 + ... + 5128.

Almost surely, 212420520 is an apocalyptic number.

12420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420520 is an abundant number, since it is smaller than the sum of its proper divisors (20093420).

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

12420520 is a wasteful number, since it uses less digits than its factorization.

12420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 12420520 is about 3524.2758121350. The cubic root of 12420520 is about 231.5865108085.

Adding to 12420520 its reverse (2502421), we get a palindrome (14922941).

The spelling of 12420520 in words is "twelve million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6337 12674 25348 31685 44359 50696 63370 88718 126740 177436 221795 253480 310513 354872 443590 621026 887180 1242052 1552565 1774360 2484104 3105130 6210260 12420520