Search a number
-
+
30130992 = 2432832521
BaseRepresentation
bin111001011110…
…0001100110000
32002200210221200
41302330030300
530203142432
62553451200
7514052313
oct162741460
962623850
1030130992
111600a951
12a110b00
13631c7b8
14400497a
1529a2a7c
hex1cbc330

30130992 has 60 divisors (see below), whose sum is σ = 85374744. Its totient is φ = 9918720.

The previous prime is 30130981. The next prime is 30130999. The reversal of 30130992 is 29903103.

It is not an unprimeable number, because it can be changed into a prime (30130999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10692 + ... + 13212.

Almost surely, 230130992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42687372).

30130992 is an abundant number, since it is smaller than the sum of its proper divisors (55243752).

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

30130992 is a wasteful number, since it uses less digits than its factorization.

30130992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30130992 is about 5489.1704291268. The cubic root of 30130992 is about 311.1748412904.

It can be divided in two parts, 301309 and 92, that added together give a square (301401 = 5492).

The spelling of 30130992 in words is "thirty million, one hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2521 2988 3984 5042 5976 7563 10084 11952 15126 20168 22689 30252 40336 45378 60504 90756 121008 181512 209243 363024 418486 627729 836972 1255458 1673944 1883187 2510916 3347888 3766374 5021832 7532748 10043664 15065496 30130992