Search a number
-
+
1302420 = 223572443
BaseRepresentation
bin100111101111110010100
32110011120210
410331332110
5313134140
643525420
714033100
oct4757624
92404523
101302420
1180a589
12529870
13367a82
1425c900
151aad80
hex13df94

1302420 has 72 divisors (see below), whose sum is σ = 4251744. Its totient is φ = 297024.

The previous prime is 1302397. The next prime is 1302443. The reversal of 1302420 is 242031.

It is an interprime number because it is at equal distance from previous prime (1302397) and next prime (1302443).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1302396 and 1302405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (59052).

21302420 is an apocalyptic number.

1302420 is a gapful number since it is divisible by the number (10) 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 1302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125872).

1302420 is an abundant number, since it is smaller than the sum of its proper divisors (2949324).

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

1302420 is a wasteful number, since it uses less digits than its factorization.

1302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1302420 is about 1141.2361718768. The cubic root of 1302420 is about 109.2069686546.

Adding to 1302420 its reverse (242031), we get a palindrome (1544451).

The spelling of 1302420 in words is "one million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 443 490 588 735 886 980 1329 1470 1772 2215 2658 2940 3101 4430 5316 6202 6645 8860 9303 12404 13290 15505 18606 21707 26580 31010 37212 43414 46515 62020 65121 86828 93030 108535 130242 186060 217070 260484 325605 434140 651210 1302420