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4212520 = 235138101
BaseRepresentation
bin10000000100011100101000
321221000111021
4100010130220
52034300040
6230142224
750543254
oct20043450
97830437
104212520
112417a24
1214b1974
13b46520
147b9264
1558324a
hex404728

4212520 has 32 divisors (see below), whose sum is σ = 10208520. Its totient is φ = 1555200.

The previous prime is 4212479. The next prime is 4212521. The reversal of 4212520 is 252124.

It can be written as a sum of positive squares in 4 ways, for example, as 3896676 + 315844 = 1974^2 + 562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4212494 and 4212503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3531 + ... + 4570.

Almost surely, 24212520 is an apocalyptic number.

4212520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212520 is an abundant number, since it is smaller than the sum of its proper divisors (5996000).

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

4212520 is a wasteful number, since it uses less digits than its factorization.

4212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8121 counting only the distinct ones).

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

The square root of 4212520 is about 2052.4424474270. The cubic root of 4212520 is about 161.5030240306.

Adding to 4212520 its reverse (252124), we get a palindrome (4464644).

The spelling of 4212520 in words is "four million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8101 16202 32404 40505 64808 81010 105313 162020 210626 324040 421252 526565 842504 1053130 2106260 4212520