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30763128 = 23311196133
BaseRepresentation
bin111010101011…
…0100001111000
32010212221002010
41311112201320
530333410003
63015205520
7522324264
oct165264170
963787063
1030763128
1116401880
12a3768a0
1364b1446
14412b0a4
152a7a003
hex1d56878

30763128 has 64 divisors (see below), whose sum is σ = 88329600. Its totient is φ = 8830080.

The previous prime is 30763127. The next prime is 30763141. The reversal of 30763128 is 82136703.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30763095 and 30763104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30763127) 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 15 ways as a sum of consecutive naturals, for example, 1950 + ... + 8082.

It is an arithmetic number, because the mean of its divisors is an integer number (1380150).

Almost surely, 230763128 is an apocalyptic number.

30763128 is a gapful number since it is divisible by the number (38) 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 30763128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44164800).

30763128 is an abundant number, since it is smaller than the sum of its proper divisors (57566472).

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

30763128 is a wasteful number, since it uses less digits than its factorization.

30763128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 30763128 is about 5546.4518387885. The cubic root of 30763128 is about 313.3359056174.

The spelling of 30763128 in words is "thirty million, seven hundred sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 6133 12266 18399 24532 36798 49064 67463 73596 116527 134926 147192 202389 233054 269852 349581 404778 466108 539704 699162 809556 932216 1281797 1398324 1619112 2563594 2796648 3845391 5127188 7690782 10254376 15381564 30763128