Search a number
-
+
30128880 = 2435472671
BaseRepresentation
bin111001011101…
…1101011110000
32002200201001110
41302323223300
530203111010
62553433320
7514043205
oct162735360
962621043
1030128880
1116009301
12a10b840
13631b852
144003cac
1529a2120
hex1cbbaf0

30128880 has 80 divisors (see below), whose sum is σ = 95422464. Its totient is φ = 7860480.

The previous prime is 30128867. The next prime is 30128887. The reversal of 30128880 is 8882103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30128887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9945 + ... + 12615.

Almost surely, 230128880 is an apocalyptic number.

30128880 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 30128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47711232).

30128880 is an abundant number, since it is smaller than the sum of its proper divisors (65293584).

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

30128880 is a wasteful number, since it uses less digits than its factorization.

30128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 30128880 is about 5488.9780469592. The cubic root of 30128880 is about 311.1675706301.

The spelling of 30128880 in words is "thirty million, one hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2671 2820 3760 5342 5640 8013 10684 11280 13355 16026 21368 26710 32052 40065 42736 53420 64104 80130 106840 125537 128208 160260 213680 251074 320520 376611 502148 627685 641040 753222 1004296 1255370 1506444 1883055 2008592 2510740 3012888 3766110 5021480 6025776 7532220 10042960 15064440 30128880