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30134020 = 2257297317
BaseRepresentation
bin111001011110…
…0111100000100
32002200222002211
41302330330010
530203242040
62553513204
7514064200
oct162747404
962628084
1030134020
1116012154
12a112804
136320ca7
144005b00
1529a38ea
hex1cbcf04

30134020 has 72 divisors (see below), whose sum is σ = 74606616. Its totient is φ = 10192896.

The previous prime is 30134017. The next prime is 30134029. The reversal of 30134020 is 2043103.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 30118144 = 126^2 + 5488^2 .

It is a super-2 number, since 2×301340202 = 1816118322720800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134029) 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, 94902 + ... + 95218.

It is an arithmetic number, because the mean of its divisors is an integer number (1036203).

Almost surely, 230134020 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 30134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37303308).

30134020 is an abundant number, since it is smaller than the sum of its proper divisors (44472596).

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

30134020 is a wasteful number, since it uses less digits than its factorization.

30134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30134020 is about 5489.4462380098. The cubic root of 30134020 is about 311.1852647314.

Adding to 30134020 its reverse (2043103), we get a palindrome (32177123).

The spelling of 30134020 in words is "thirty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 317 388 485 490 634 679 970 980 1268 1358 1585 1940 2219 2716 3170 3395 4438 4753 6340 6790 8876 9506 11095 13580 15533 19012 22190 23765 30749 31066 44380 47530 61498 62132 77665 95060 122996 153745 155330 215243 307490 310660 430486 614980 860972 1076215 1506701 2152430 3013402 4304860 6026804 7533505 15067010 30134020