Search a number
-
+
30750930 = 23257219367
BaseRepresentation
bin111010101001…
…1100011010010
32010212022100100
41311103203102
530333012210
63015033230
7522243600
oct165234322
963768310
1030750930
11163a36a1
12a36b816
1364a8a22
144126870
152a765c0
hex1d538d2

30750930 has 144 divisors (see below), whose sum is σ = 98167680. Its totient is φ = 6640704.

The previous prime is 30750901. The next prime is 30750961. The reversal of 30750930 is 3905703.

It is a junction number, because it is equal to n+sod(n) for n = 30750894 and 30750903.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 83607 + ... + 83973.

It is an arithmetic number, because the mean of its divisors is an integer number (681720).

Almost surely, 230750930 is an apocalyptic number.

30750930 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 30750930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49083840).

30750930 is an abundant number, since it is smaller than the sum of its proper divisors (67416750).

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

30750930 is a wasteful number, since it uses less digits than its factorization.

30750930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 30750930 is about 5545.3521078467. The cubic root of 30750930 is about 313.2944861552.

The spelling of 30750930 in words is "thirty million, seven hundred fifty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 367 399 441 490 570 630 665 734 735 798 855 882 931 1101 1197 1330 1470 1710 1835 1862 1995 2202 2205 2394 2569 2793 3303 3670 3990 4410 4655 5138 5505 5586 5985 6606 6973 7707 8379 9310 11010 11970 12845 13946 13965 15414 16515 16758 17983 20919 23121 25690 27930 33030 34865 35966 38535 41838 41895 46242 48811 53949 62757 69730 77070 83790 89915 97622 104595 107898 115605 125514 146433 161847 179830 209190 231210 244055 269745 292866 313785 323694 341677 439299 488110 539490 627570 683354 732165 809235 878598 1025031 1464330 1618470 1708385 2050062 2196495 3075093 3416770 4392990 5125155 6150186 10250310 15375465 30750930