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30506130 = 2325379161
BaseRepresentation
bin111010001011…
…1110010010010
32010101212112200
41310113302102
530302144010
63005504030
7520204104
oct164276222
963355480
1030506130
1116246786
12a272016
136421485
1440a1574
152a28cc0
hex1d17c92

30506130 has 48 divisors (see below), whose sum is σ = 81468504. Its totient is φ = 7914240.

The previous prime is 30506129. The next prime is 30506137. The reversal of 30506130 is 3160503.

30506130 is a `hidden beast` number, since 3 + 0 + 50 + 613 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27468081 + 3038049 = 5241^2 + 1743^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30506137) 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 23 ways as a sum of consecutive naturals, for example, 1251 + ... + 7910.

Almost surely, 230506130 is an apocalyptic number.

30506130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30506130 is an abundant number, since it is smaller than the sum of its proper divisors (50962374).

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

30506130 is a wasteful number, since it uses less digits than its factorization.

30506130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 30506130 is about 5523.2354648340. The cubic root of 30506130 is about 312.4609188461.

Adding to 30506130 its reverse (3160503), we get a palindrome (33666633).

It can be divided in two parts, 3050 and 6130, that added together give a triangular number (9180 = T135).

The spelling of 30506130 in words is "thirty million, five hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 9161 18322 27483 45805 54966 82449 91610 137415 164898 274830 338957 412245 677914 824490 1016871 1694785 2033742 3050613 3389570 5084355 6101226 10168710 15253065 30506130