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30028968 = 233619271
BaseRepresentation
bin111001010001…
…1010010101000
32002111122000000
41302203102220
530141411333
62551343000
7513146004
oct162432250
962448000
1030028968
1115a50232
12a081a60
1362b5228
143db9704
152982713
hex1ca34a8

30028968 has 112 divisors (see below), whose sum is σ = 89188800. Its totient is φ = 9447840.

The previous prime is 30028967. The next prime is 30028979. The reversal of 30028968 is 86982003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30028963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110673 + ... + 110943.

Almost surely, 230028968 is an apocalyptic number.

30028968 is a gapful number since it is divisible by the number (38) 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 30028968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44594400).

30028968 is an abundant number, since it is smaller than the sum of its proper divisors (59159832).

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

30028968 is a wasteful number, since it uses less digits than its factorization.

30028968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30028968 is about 5479.8693415081. The cubic root of 30028968 is about 310.8232298792.

The spelling of 30028968 in words is "thirty million, twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 271 324 342 456 486 513 542 648 684 729 813 972 1026 1084 1368 1458 1539 1626 1944 2052 2168 2439 2916 3078 3252 4104 4617 4878 5149 5832 6156 6504 7317 9234 9756 10298 12312 13851 14634 15447 18468 19512 20596 21951 27702 29268 30894 36936 41192 43902 46341 55404 58536 61788 65853 87804 92682 110808 123576 131706 139023 175608 185364 197559 263412 278046 370728 395118 417069 526824 556092 790236 834138 1112184 1251207 1580472 1668276 2502414 3336552 3753621 5004828 7507242 10009656 15014484 30028968