Search a number
-
+
2321420 = 2251941149
BaseRepresentation
bin1000110110110000001100
311100221101112
420312300030
51043241140
6121431152
725505663
oct10666014
94327345
102321420
111346132
1293b4b8
1363382a
14445dda
1530cc65
hex236c0c

2321420 has 48 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 852480.

The previous prime is 2321399. The next prime is 2321443. The reversal of 2321420 is 241232.

It is a super-3 number, since 3×23214203 = 37530333183021864000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2321395 and 2321404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15506 + ... + 15654.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22321420 is an apocalyptic number.

2321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646000).

2321420 is an abundant number, since it is smaller than the sum of its proper divisors (2970580).

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

2321420 is a wasteful number, since it uses less digits than its factorization.

2321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

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

The square root of 2321420 is about 1523.6206877041. The cubic root of 2321420 is about 132.4091224475.

Adding to 2321420 its reverse (241232), we get a palindrome (2562652).

The spelling of 2321420 in words is "two million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 149 164 190 205 298 380 410 596 745 779 820 1490 1558 2831 2980 3116 3895 5662 6109 7790 11324 12218 14155 15580 24436 28310 30545 56620 61090 116071 122180 232142 464284 580355 1160710 2321420