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30148360 = 2351126229
BaseRepresentation
bin111001100000…
…0011100001000
32002201200202221
41303000130020
530204221420
62554103424
7514154044
oct163003410
962650687
1030148360
1116021a00
12a11ab74
136327688
14400b024
1529a7caa
hex1cc0708

30148360 has 48 divisors (see below), whose sum is σ = 74573100. Its totient is φ = 10961280.

The previous prime is 30148333. The next prime is 30148367. The reversal of 30148360 is 6384103.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 139876 = 5478^2 + 374^2 .

It is a super-2 number, since 2×301483602 = 1817847221379200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30148367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1726 + ... + 7954.

Almost surely, 230148360 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 30148360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37286550).

30148360 is an abundant number, since it is smaller than the sum of its proper divisors (44424740).

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

30148360 is a wasteful number, since it uses less digits than its factorization.

30148360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 30148360 is about 5490.7522253331. The cubic root of 30148360 is about 311.2346185740.

The spelling of 30148360 in words is "thirty million, one hundred forty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 6229 12458 24916 31145 49832 62290 68519 124580 137038 249160 274076 342595 548152 685190 753709 1370380 1507418 2740760 3014836 3768545 6029672 7537090 15074180 30148360