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30120450 = 23521571279
BaseRepresentation
bin111001011100…
…1101000000010
32002200021111020
41302321220002
530202323300
62553330310
7514006503
oct162715002
962607436
1030120450
1116002a38
12a106996
136317a69
144000baa
15299e8a0
hex1cb9a02

30120450 has 48 divisors (see below), whose sum is σ = 75233280. Its totient is φ = 7974720.

The previous prime is 30120449. The next prime is 30120487. The reversal of 30120450 is 5402103.

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

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, 22911 + ... + 24189.

It is an arithmetic number, because the mean of its divisors is an integer number (1567360).

Almost surely, 230120450 is an apocalyptic number.

30120450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37616640).

30120450 is an abundant number, since it is smaller than the sum of its proper divisors (45112830).

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

30120450 is a wasteful number, since it uses less digits than its factorization.

30120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 30120450 is about 5488.2100907309. The cubic root of 30120450 is about 311.1385465696.

Adding to 30120450 its reverse (5402103), we get a palindrome (35522553).

The spelling of 30120450 in words is "thirty million, one hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 157 314 471 785 942 1279 1570 2355 2558 3837 3925 4710 6395 7674 7850 11775 12790 19185 23550 31975 38370 63950 95925 191850 200803 401606 602409 1004015 1204818 2008030 3012045 5020075 6024090 10040150 15060225 30120450