Search a number
-
+
4212320 = 25573761
BaseRepresentation
bin10000000100011001100000
321221000012212
4100010121200
52034243240
6230141252
750542550
oct20043140
97830185
104212320
112417862
1214b1828
13b463c8
147b9160
15583165
hex404660

4212320 has 48 divisors (see below), whose sum is σ = 11376288. Its totient is φ = 1443840.

The previous prime is 4212317. The next prime is 4212331. The reversal of 4212320 is 232124.

4212320 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4212295 and 4212304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (237006).

Almost surely, 24212320 is an apocalyptic number.

4212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212320 is an abundant number, since it is smaller than the sum of its proper divisors (7163968).

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

4212320 is a wasteful number, since it uses less digits than its factorization.

4212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4212320 is about 2052.3937244106. The cubic root of 4212320 is about 161.5004680692.

Adding to 4212320 its reverse (232124), we get a palindrome (4444444).

The spelling of 4212320 in words is "four million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3761 7522 15044 18805 26327 30088 37610 52654 60176 75220 105308 120352 131635 150440 210616 263270 300880 421232 526540 601760 842464 1053080 2106160 4212320