Search a number
-
+
30152520 = 2333527919
BaseRepresentation
bin111001100000…
…1011101001000
32002201220111000
41303001131020
530204340040
62554135000
7514202136
oct163013510
962656430
1030152520
1116025042
12a121460
136329538
14400c756
1529a9130
hex1cc1748

30152520 has 64 divisors (see below), whose sum is σ = 100512000. Its totient is φ = 8040384.

The previous prime is 30152513. The next prime is 30152527. The reversal of 30152520 is 2525103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30152513) and next prime (30152527).

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

It is a junction number, because it is equal to n+sod(n) for n = 30152493 and 30152502.

It is not an unprimeable number, because it can be changed into a prime (30152527) 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, 12880 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (1570500).

Almost surely, 230152520 is an apocalyptic number.

30152520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30152520 is an abundant number, since it is smaller than the sum of its proper divisors (70359480).

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

30152520 is a wasteful number, since it uses less digits than its factorization.

30152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27939 (or 27929 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30152520 is about 5491.1310310354. The cubic root of 30152520 is about 311.2489330781.

Adding to 30152520 its reverse (2525103), we get a palindrome (32677623).

The spelling of 30152520 in words is "thirty million, one hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 27919 55838 83757 111676 139595 167514 223352 251271 279190 335028 418785 502542 558380 670056 753813 837570 1005084 1116760 1256355 1507626 1675140 2010168 2512710 3015252 3350280 3769065 5025420 6030504 7538130 10050840 15076260 30152520