Search a number
-
+
30138510 = 23523311409
BaseRepresentation
bin111001011111…
…0000010001110
32002201012021010
41302332002032
530203413020
62553550050
7514113243
oct162760216
962635233
1030138510
1116015566
12a115326
13632304c
1440075ca
1529a4de0
hex1cbe08e

30138510 has 64 divisors (see below), whose sum is σ = 77967360. Its totient is φ = 7434240.

The previous prime is 30138509. The next prime is 30138517. The reversal of 30138510 is 1583103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30138517) 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 31 ways as a sum of consecutive naturals, for example, 20686 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (1218240).

Almost surely, 230138510 is an apocalyptic number.

30138510 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 30138510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38983680).

30138510 is an abundant number, since it is smaller than the sum of its proper divisors (47828850).

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

30138510 is a wasteful number, since it uses less digits than its factorization.

30138510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 30138510 is about 5489.8551893470. The cubic root of 30138510 is about 311.2007196054.

The spelling of 30138510 in words is "thirty million, one hundred thirty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1409 1426 2139 2818 3565 4227 4278 7045 7130 8454 10695 14090 21135 21390 32407 42270 43679 64814 87358 97221 131037 162035 194442 218395 262074 324070 436790 486105 655185 972210 1004617 1310370 2009234 3013851 5023085 6027702 10046170 15069255 30138510