Search a number
-
+
30181242 = 23713167331
BaseRepresentation
bin111001100100…
…0011101111010
32002210100212210
41303020131322
530211244432
62554515550
7514351650
oct163103572
962710783
1030181242
1116044683
12a135bb6
136339630
144018dd0
1529b28cc
hex1cc877a

30181242 has 64 divisors (see below), whose sum is σ = 74962944. Its totient is φ = 7888320.

The previous prime is 30181241. The next prime is 30181297. The reversal of 30181242 is 24218103.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30181241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91017 + ... + 91347.

It is an arithmetic number, because the mean of its divisors is an integer number (1171296).

Almost surely, 230181242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30181242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37481472).

30181242 is an abundant number, since it is smaller than the sum of its proper divisors (44781702).

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

30181242 is a wasteful number, since it uses less digits than its factorization.

30181242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 30181242 is about 5493.7457167219. The cubic root of 30181242 is about 311.3477291857.

Adding to 30181242 its reverse (24218103), we get a palindrome (54399345).

The spelling of 30181242 in words is "thirty million, one hundred eighty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 167 182 273 331 334 501 546 662 993 1002 1169 1986 2171 2317 2338 3507 4303 4342 4634 6513 6951 7014 8606 12909 13026 13902 15197 25818 30121 30394 45591 55277 60242 90363 91182 110554 165831 180726 331662 386939 718601 773878 1160817 1437202 2155803 2321634 4311606 5030207 10060414 15090621 30181242