Search a number
-
+
2730420 = 22325711197
BaseRepresentation
bin1010011010100110110100
312010201102200
422122212310
51144333140
6134304500
732131260
oct12324664
95121380
102730420
1115a5450
12ab8130
13747a44
145110a0
1538e030
hex29a9b4

2730420 has 144 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 564480.

The previous prime is 2730397. The next prime is 2730439. The reversal of 2730420 is 240372.

It is a happy number.

2730420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2730393 and 2730402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13762 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

22730420 is an apocalyptic number.

2730420 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 2730420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184).

2730420 is an abundant number, since it is smaller than the sum of its proper divisors (7647948).

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

2730420 is a wasteful number, since it uses less digits than its factorization.

2730420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2730420 is about 1652.3982570797. The cubic root of 2730420 is about 139.7686655752.

Adding to 2730420 its reverse (240372), we get a palindrome (2970792).

The spelling of 2730420 in words is "two million, seven hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 197 198 210 220 231 252 308 315 330 385 394 396 420 462 495 591 630 660 693 770 788 924 985 990 1155 1182 1260 1379 1386 1540 1773 1970 1980 2167 2310 2364 2758 2772 2955 3465 3546 3940 4137 4334 4620 5516 5910 6501 6895 6930 7092 8274 8668 8865 10835 11820 12411 13002 13790 13860 15169 16548 17730 19503 20685 21670 24822 26004 27580 30338 32505 35460 39006 41370 43340 45507 49644 60676 62055 65010 75845 78012 82740 91014 97515 124110 130020 136521 151690 182028 195030 227535 248220 273042 303380 390060 455070 546084 682605 910140 1365210 2730420