Search a number
-
+
30212784 = 2433797103
BaseRepresentation
bin111001101000…
…0001010110000
32002211222011000
41303100022300
530213302114
62555322000
7514542630
oct163201260
962758130
1030212784
1116066348
12a150300
13634aab4
1440266c0
1529bbe09
hex1cd02b0

30212784 has 160 divisors (see below), whose sum is σ = 101104640. Its totient is φ = 8460288.

The previous prime is 30212783. The next prime is 30212803. The reversal of 30212784 is 48721203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30212783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293277 + ... + 293379.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 230212784 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 30212784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50552320).

30212784 is an abundant number, since it is smaller than the sum of its proper divisors (70891856).

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

30212784 is a wasteful number, since it uses less digits than its factorization.

30212784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 30212784 is about 5496.6156860381. The cubic root of 30212784 is about 311.4561531637.

Adding to 30212784 its reverse (48721203), we get a palindrome (78933987).

The spelling of 30212784 in words is "thirty million, two hundred twelve thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 97 103 108 112 126 144 168 189 194 206 216 252 291 309 336 378 388 412 432 504 582 618 679 721 756 776 824 873 927 1008 1164 1236 1358 1442 1512 1552 1648 1746 1854 2037 2163 2328 2472 2619 2716 2781 2884 3024 3492 3708 4074 4326 4656 4944 5238 5432 5562 5768 6111 6489 6984 7416 8148 8652 9991 10476 10864 11124 11536 12222 12978 13968 14832 16296 17304 18333 19467 19982 20952 22248 24444 25956 29973 32592 34608 36666 38934 39964 41904 44496 48888 51912 59946 69937 73332 77868 79928 89919 97776 103824 119892 139874 146664 155736 159856 179838 209811 239784 269757 279748 293328 311472 359676 419622 479568 539514 559496 629433 719352 839244 1079028 1118992 1258866 1438704 1678488 1888299 2158056 2517732 3356976 3776598 4316112 5035464 7553196 10070928 15106392 30212784