Search a number
-
+
30138416 = 24711171439
BaseRepresentation
bin111001011111…
…0000000110000
32002201012010122
41302332000300
530203412131
62553545412
7514113050
oct162760060
962635118
1030138416
1116015490
12a115268
136322ca9
144007560
1529a4d7b
hex1cbe030

30138416 has 80 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 11043840.

The previous prime is 30138413. The next prime is 30138469. The reversal of 30138416 is 61483103.

It is not an unprimeable number, because it can be changed into a prime (30138413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20225 + ... + 21663.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 230138416 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 30138416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

30138416 is an abundant number, since it is smaller than the sum of its proper divisors (46999504).

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

30138416 is a wasteful number, since it uses less digits than its factorization.

30138416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 30138416 is about 5489.8466280944. The cubic root of 30138416 is about 311.2003960670.

The spelling of 30138416 in words is "thirty million, one hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1439 1496 1904 2618 2878 2992 5236 5756 10073 10472 11512 15829 20146 20944 23024 24463 31658 40292 48926 63316 80584 97852 110803 126632 161168 171241 195704 221606 253264 269093 342482 391408 443212 538186 684964 886424 1076372 1369928 1772848 1883651 2152744 2739856 3767302 4305488 7534604 15069208 30138416