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30728130 = 23519313747
BaseRepresentation
bin111010100110…
…1111111000010
32010211011001220
41311031333002
530331300010
63014335510
7522120246
oct165157702
963734056
1030728130
1116388554
12a35a596
13649b534
14411c426
152a6e970
hex1d4dfc2

30728130 has 128 divisors (see below), whose sum is σ = 84049920. Its totient is φ = 7153920.

The previous prime is 30728123. The next prime is 30728171. The reversal of 30728130 is 3182703.

30728130 = T492 + T493 + ... + T671.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30728130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653767 + ... + 653813.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 230728130 is an apocalyptic number.

30728130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30728130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42024960).

30728130 is an abundant number, since it is smaller than the sum of its proper divisors (53321790).

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

30728130 is a wasteful number, since it uses less digits than its factorization.

30728130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30728130 is about 5543.2959509664. The cubic root of 30728130 is about 313.2170372194.

The spelling of 30728130 in words is "thirty million, seven hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 37 38 47 57 62 74 93 94 95 111 114 141 155 185 186 190 222 235 282 285 310 370 465 470 555 570 589 703 705 893 930 1110 1147 1178 1406 1410 1457 1739 1767 1786 2109 2294 2679 2914 2945 3441 3478 3515 3534 4218 4371 4465 5217 5358 5735 5890 6882 7030 7285 8695 8742 8835 8930 10434 10545 11470 13395 14570 17205 17390 17670 21090 21793 21855 26085 26790 27683 33041 34410 43586 43710 52170 53909 55366 65379 66082 83049 99123 107818 108965 130758 138415 161727 165205 166098 198246 217930 269545 276830 323454 326895 330410 415245 495615 539090 653790 808635 830490 991230 1024271 1617270 2048542 3072813 5121355 6145626 10242710 15364065 30728130