Search a number
-
+
30013200 = 2433527397
BaseRepresentation
bin111001001111…
…1011100010000
32002110211101000
41302133130100
530140410300
62551142000
7513052020
oct162373420
962424330
1030013200
1115a3a3a8
12a074900
1362aacb9
143db3a80
15297cc00
hex1c9f710

30013200 has 240 divisors, whose sum is σ = 122392960. Its totient is φ = 6842880.

The previous prime is 30013199. The next prime is 30013201. The reversal of 30013200 is 231003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30013199) and next prime (30013201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (30013201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 75402 + ... + 75798.

Almost surely, 230013200 is an apocalyptic number.

30013200 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 30013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196480).

30013200 is an abundant number, since it is smaller than the sum of its proper divisors (92379760).

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

30013200 is a wasteful number, since it uses less digits than its factorization.

30013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30013200 is about 5478.4304321585. The cubic root of 30013200 is about 310.7688166564.

Adding to 30013200 its reverse (231003), we get a palindrome (30244203).

The spelling of 30013200 in words is "thirty million, thirteen thousand, two hundred".