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30141630 = 2325537189
BaseRepresentation
bin111001011111…
…0110010111110
32002201100112200
41302332302332
530204013010
62554012330
7514125321
oct162766276
962640480
1030141630
1116017942
12a1170a6
1363245ac
1440087b8
1529a5cc0
hex1cbecbe

30141630 has 96 divisors (see below), whose sum is σ = 81881280. Its totient is φ = 7687680.

The previous prime is 30141607. The next prime is 30141647. The reversal of 30141630 is 3614103.

30141630 is a `hidden beast` number, since 30 + 1 + 4 + 1 + 630 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338626 + ... + 338714.

It is an arithmetic number, because the mean of its divisors is an integer number (852930).

Almost surely, 230141630 is an apocalyptic number.

30141630 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 30141630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940640).

30141630 is an abundant number, since it is smaller than the sum of its proper divisors (51739650).

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

30141630 is a wasteful number, since it uses less digits than its factorization.

30141630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30141630 is about 5490.1393424940. The cubic root of 30141630 is about 311.2114579459.

Adding to 30141630 its reverse (3614103), we get a palindrome (33755733).

The spelling of 30141630 in words is "thirty million, one hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 71 89 90 106 142 159 178 213 265 267 318 355 426 445 477 530 534 639 710 795 801 890 954 1065 1278 1335 1590 1602 2130 2385 2670 3195 3763 4005 4717 4770 6319 6390 7526 8010 9434 11289 12638 14151 18815 18957 22578 23585 28302 31595 33867 37630 37914 42453 47170 56445 56871 63190 67734 70755 84906 94785 112890 113742 141510 169335 189570 212265 284355 334907 338670 424530 568710 669814 1004721 1674535 2009442 3014163 3349070 5023605 6028326 10047210 15070815 30141630