Search a number
-
+
30420300 = 22352313271
BaseRepresentation
bin111010000001…
…0110101001100
32010020111210210
41310002311030
530241422200
63004002420
7516365631
oct164026514
963214723
1030420300
1116198249
12a230410
1363c13a1
14407c188
152a0d650
hex1d02d4c

30420300 has 72 divisors (see below), whose sum is σ = 90883072. Its totient is φ = 7848000.

The previous prime is 30420277. The next prime is 30420317. The reversal of 30420300 is 302403.

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

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 23 ways as a sum of consecutive naturals, for example, 7665 + ... + 10935.

Almost surely, 230420300 is an apocalyptic number.

30420300 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 30420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441536).

30420300 is an abundant number, since it is smaller than the sum of its proper divisors (60462772).

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

30420300 is a wasteful number, since it uses less digits than its factorization.

30420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30420300 is about 5515.4600896027. The cubic root of 30420300 is about 312.1676038998.

Adding to 30420300 its reverse (302403), we get a palindrome (30722703).

The spelling of 30420300 in words is "thirty million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 3271 4650 6542 9300 9813 13084 16355 19626 32710 39252 49065 65420 81775 98130 101401 163550 196260 202802 245325 304203 327100 405604 490650 507005 608406 981300 1014010 1216812 1521015 2028020 2535025 3042030 5070050 6084060 7605075 10140100 15210150 30420300