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30295500 = 22353191063
BaseRepresentation
bin111001110010…
…0010111001100
32010000011121120
41303210113030
530223424000
63001200540
7515336034
oct163442714
963004546
1030295500
1116112504
12a190150
136379641
1440488c4
1529d66a0
hex1ce45cc

30295500 has 96 divisors (see below), whose sum is σ = 92951040. Its totient is φ = 7646400.

The previous prime is 30295423. The next prime is 30295501. The reversal of 30295500 is 559203.

It is not an unprimeable number, because it can be changed into a prime (30295501) 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 31 ways as a sum of consecutive naturals, for example, 27969 + ... + 29031.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 230295500 is an apocalyptic number.

30295500 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 30295500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46475520).

30295500 is an abundant number, since it is smaller than the sum of its proper divisors (62655540).

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

30295500 is a wasteful number, since it uses less digits than its factorization.

30295500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 30295500 is about 5504.1348093956. The cubic root of 30295500 is about 311.7401271293.

The spelling of 30295500 in words is "thirty million, two hundred ninety-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1063 1140 1425 1500 1900 2126 2375 2850 3189 4252 4750 5315 5700 6378 7125 9500 10630 12756 14250 15945 20197 21260 26575 28500 31890 40394 53150 60591 63780 79725 80788 100985 106300 121182 132875 159450 201970 242364 265750 302955 318900 398625 403940 504925 531500 605910 797250 1009850 1211820 1514775 1594500 2019700 2524625 3029550 5049250 6059100 7573875 10098500 15147750 30295500