Search a number
-
+
30026220 = 2235731459
BaseRepresentation
bin111001010001…
…0100111101100
32002111111020020
41302202213230
530141314340
62551322140
7513135000
oct162424754
962444206
1030026220
1115a49164
12a080350
1362b3bc3
143db8700
1529819d0
hex1ca29ec

30026220 has 96 divisors (see below), whose sum is σ = 98112000. Its totient is φ = 6858432.

The previous prime is 30026219. The next prime is 30026231. The reversal of 30026220 is 2262003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30026220.

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 31 ways as a sum of consecutive naturals, for example, 19851 + ... + 21309.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 230026220 is an apocalyptic number.

30026220 is a gapful number since it is divisible by the number (30) 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 30026220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056000).

30026220 is an abundant number, since it is smaller than the sum of its proper divisors (68085780).

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

30026220 is a wasteful number, since it uses less digits than its factorization.

30026220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30026220 is about 5479.6185998662. The cubic root of 30026220 is about 310.8137482759.

Adding to 30026220 its reverse (2262003), we get a palindrome (32288223).

The spelling of 30026220 in words is "thirty million, twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1459 1470 1715 2058 2918 2940 3430 4116 4377 5145 5836 6860 7295 8754 10213 10290 14590 17508 20426 20580 21885 29180 30639 40852 43770 51065 61278 71491 87540 102130 122556 142982 153195 204260 214473 285964 306390 357455 428946 500437 612780 714910 857892 1000874 1072365 1429820 1501311 2001748 2144730 2502185 3002622 4289460 5004370 6005244 7506555 10008740 15013110 30026220