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30728520 = 23325175021
BaseRepresentation
bin111010100111…
…0000101001000
32010211011121100
41311032011020
530331303040
63014341400
7522121344
oct165160510
963734540
1030728520
1116388879
12a35a860
13649b774
14411c624
152a6eb30
hex1d4e148

30728520 has 96 divisors (see below), whose sum is σ = 105763320. Its totient is φ = 7710720.

The previous prime is 30728497. The next prime is 30728521. The reversal of 30728520 is 2582703.

It can be written as a sum of positive squares in 4 ways, for example, as 30536676 + 191844 = 5526^2 + 438^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30728521) 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 23 ways as a sum of consecutive naturals, for example, 3610 + ... + 8630.

Almost surely, 230728520 is an apocalyptic number.

30728520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52881660).

30728520 is an abundant number, since it is smaller than the sum of its proper divisors (75034800).

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

30728520 is a wasteful number, since it uses less digits than its factorization.

30728520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30728520 is about 5543.3311284822. The cubic root of 30728520 is about 313.2183623258.

The spelling of 30728520 in words is "thirty million, seven hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 5021 6120 10042 15063 20084 25105 30126 40168 45189 50210 60252 75315 85357 90378 100420 120504 150630 170714 180756 200840 225945 256071 301260 341428 361512 426785 451890 512142 602520 682856 768213 853570 903780 1024284 1280355 1536426 1707140 1807560 2048568 2560710 3072852 3414280 3841065 5121420 6145704 7682130 10242840 15364260 30728520