Search a number
-
+
30253014 = 235115659
BaseRepresentation
bin111001101100…
…1111111010110
32002221000100000
41303121333112
530221044024
63000232130
7515101131
oct163317726
962830300
1030253014
11160935a0
12a16b646
1363631bc
144037218
1529c8cc9
hex1cd9fd6

30253014 has 48 divisors (see below), whose sum is σ = 74168640. Its totient is φ = 9165960.

The previous prime is 30252991. The next prime is 30253019. The reversal of 30253014 is 41035203.

It is a super-3 number, since 3×302530143 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30253019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2517 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (1545180).

Almost surely, 230253014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30253014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37084320).

30253014 is an abundant number, since it is smaller than the sum of its proper divisors (43915626).

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

30253014 is a wasteful number, since it uses less digits than its factorization.

30253014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30253014 is about 5500.2739931752. The cubic root of 30253014 is about 311.5943322399.

Adding to 30253014 its reverse (41035203), we get a palindrome (71288217).

The spelling of 30253014 in words is "thirty million, two hundred fifty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 5659 11318 16977 33954 50931 62249 101862 124498 152793 186747 305586 373494 458379 560241 916758 1120482 1375137 1680723 2750274 3361446 5042169 10084338 15126507 30253014