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30255072 = 2531132789
BaseRepresentation
bin111001101101…
…0011111100000
32002221010011020
41303122133200
530221130242
63000245440
7515110131
oct163323740
962833136
1030255072
11160950a1
12a170880
136364113
144037c88
1529c96ec
hex1cda7e0

30255072 has 48 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 9992192.

The previous prime is 30255067. The next prime is 30255073. The reversal of 30255072 is 27055203.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30255073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9454 + ... + 12242.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 230255072 is an apocalyptic number.

30255072 is a gapful number since it is divisible by the number (32) 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 30255072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

30255072 is an abundant number, since it is smaller than the sum of its proper divisors (49896048).

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

30255072 is a wasteful number, since it uses less digits than its factorization.

30255072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 30255072 is about 5500.4610715830. The cubic root of 30255072 is about 311.6013976141.

The spelling of 30255072 in words is "thirty million, two hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 2789 3616 5424 5578 8367 10848 11156 16734 22312 33468 44624 66936 89248 133872 267744 315157 630314 945471 1260628 1890942 2521256 3781884 5042512 7563768 10085024 15127536 30255072