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30121728 = 283713431
BaseRepresentation
bin111001011100…
…1111100000000
32002200100020120
41302321330000
530202343403
62553340240
7514013310
oct162717400
962610216
1030121728
111600399a
12a107680
136318510
144001440
15299ee53
hex1cb9f00

30121728 has 144 divisors (see below), whose sum is σ = 98896896. Its totient is φ = 7925760.

The previous prime is 30121723. The next prime is 30121753. The reversal of 30121728 is 82712103.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 30121698 and 30121707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121723) 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, 69673 + ... + 70103.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 230121728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49448448).

30121728 is an abundant number, since it is smaller than the sum of its proper divisors (68775168).

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

30121728 is a wasteful number, since it uses less digits than its factorization.

30121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 30121728 is about 5488.3265208987. The cubic root of 30121728 is about 311.1429470067.

The spelling of 30121728 in words is "thirty million, one hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 431 448 546 624 672 728 768 832 862 896 1092 1248 1293 1344 1456 1664 1724 1792 2184 2496 2586 2688 2912 3017 3328 3448 4368 4992 5172 5376 5603 5824 6034 6896 8736 9051 9984 10344 11206 11648 12068 13792 16809 17472 18102 20688 22412 23296 24136 27584 33618 34944 36204 39221 41376 44824 48272 55168 67236 69888 72408 78442 82752 89648 96544 110336 117663 134472 144816 156884 165504 179296 193088 235326 268944 289632 313768 331008 358592 386176 470652 537888 579264 627536 717184 772352 941304 1075776 1158528 1255072 1434368 1882608 2151552 2317056 2510144 3765216 4303104 5020288 7530432 10040576 15060864 30121728