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30504500 = 2253132192
BaseRepresentation
bin111010001011…
…1011000110100
32010101210022022
41310113120310
530302121000
63005452312
7520166255
oct164273064
963353268
1030504500
1116245534
12a271098
136420800
1440a0b2c
152a28585
hex1d17634

30504500 has 108 divisors (see below), whose sum is σ = 76137516. Its totient is φ = 10670400.

The previous prime is 30504493. The next prime is 30504503. The reversal of 30504500 is 540503.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 21492496 + 9012004 = 4636^2 + 3002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30504503) 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 35 ways as a sum of consecutive naturals, for example, 1605491 + ... + 1605509.

It is an arithmetic number, because the mean of its divisors is an integer number (704977).

Almost surely, 230504500 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 30504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068758).

30504500 is an abundant number, since it is smaller than the sum of its proper divisors (45633016).

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

30504500 is a wasteful number, since it uses less digits than its factorization.

30504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 30504500 is about 5523.0879044245. The cubic root of 30504500 is about 312.4553536217.

The spelling of 30504500 in words is "thirty million, five hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 125 130 169 190 247 250 260 325 338 361 380 475 494 500 650 676 722 845 950 988 1235 1300 1444 1625 1690 1805 1900 2375 2470 3211 3250 3380 3610 4225 4693 4750 4940 6175 6422 6500 7220 8450 9025 9386 9500 12350 12844 16055 16900 18050 18772 21125 23465 24700 30875 32110 36100 42250 45125 46930 61009 61750 64220 80275 84500 90250 93860 117325 122018 123500 160550 180500 234650 244036 305045 321100 401375 469300 586625 610090 802750 1173250 1220180 1525225 1605500 2346500 3050450 6100900 7626125 15252250 30504500