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30533100 = 22352137829
BaseRepresentation
bin111010001111…
…0010111101100
32010110020112120
41310132113230
530304024400
63010232540
7520345533
oct164362754
963406476
1030533100
1116264a74
12a285750
136430830
1440ab31a
152a31ca0
hex1d1e5ec

30533100 has 72 divisors (see below), whose sum is σ = 95150160. Its totient is φ = 7514880.

The previous prime is 30533099. The next prime is 30533101. The reversal of 30533100 is 133503.

It is an interprime number because it is at equal distance from previous prime (30533099) and next prime (30533101).

It is a super-2 number, since 2×305331002 = 1864540391220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30533100.

It is not an unprimeable number, because it can be changed into a prime (30533101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15 + ... + 7814.

It is an arithmetic number, because the mean of its divisors is an integer number (1321530).

Almost surely, 230533100 is an apocalyptic number.

30533100 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 30533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47575080).

30533100 is an abundant number, since it is smaller than the sum of its proper divisors (64617060).

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

30533100 is a wasteful number, since it uses less digits than its factorization.

30533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 30533100 is about 5525.6764291804. The cubic root of 30533100 is about 312.5529723534.

Adding to 30533100 its reverse (133503), we get a palindrome (30666603).

The spelling of 30533100 in words is "thirty million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 7829 15658 23487 31316 39145 46974 78290 93948 101777 117435 156580 195725 203554 234870 305331 391450 407108 469740 508885 587175 610662 782900 1017770 1174350 1221324 1526655 2035540 2348700 2544425 3053310 5088850 6106620 7633275 10177700 15266550 30533100