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30503520 = 2533523307
BaseRepresentation
bin111010001011…
…1001001100000
32010101201222000
41310113021200
530302103040
63005444000
7520163355
oct164271140
963351860
1030503520
1116244823
12a270600
136420228
1440a062c
152a28130
hex1d17260

30503520 has 192 divisors, whose sum is σ = 111767040. Its totient is φ = 7755264.

The previous prime is 30503509. The next prime is 30503527. The reversal of 30503520 is 2530503.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30503493 and 30503502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30503527) 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 31 ways as a sum of consecutive naturals, for example, 99207 + ... + 99513.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 230503520 is an apocalyptic number.

30503520 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 30503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

30503520 is an abundant number, since it is smaller than the sum of its proper divisors (81263520).

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

30503520 is a wasteful number, since it uses less digits than its factorization.

30503520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 30503520 is about 5522.9991852254. Note that the first 3 decimals coincide. The cubic root of 30503520 is about 312.4520075632.

The spelling of 30503520 in words is "thirty million, five hundred three thousand, five hundred twenty".