Search a number
-
+
30270124032 = 21236736767
BaseRepresentation
bin11100001100001111…
…010111000000000000
32220010120120121212220
4130030033113000000
5443443122432112
621523401451040
72121056544321
oct341417270000
986116517786
1030270124032
1111923772235
125a494a0a80
132b153324c5
141672282448
15bc26d598c
hex70c3d7000

30270124032 has 104 divisors (see below), whose sum is σ = 81917339136. Its totient is φ = 9939173376.

The previous prime is 30270124021. The next prime is 30270124097. The reversal of 30270124032 is 23042107203.

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 = 30270123993 and 30270124011.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 804913 + ... + 841679.

Almost surely, 230270124032 is an apocalyptic number.

30270124032 is a gapful number since it is divisible by the number (32) 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 30270124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40958669568).

30270124032 is an abundant number, since it is smaller than the sum of its proper divisors (51647215104).

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

30270124032 is an equidigital number, since it uses as much as digits as its factorization.

30270124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36861 (or 36839 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 30270124032 in words is "thirty billion, two hundred seventy million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1024 1072 1536 1608 2048 2144 3072 3216 4096 4288 6144 6432 8576 12288 12864 17152 25728 34304 36767 51456 68608 73534 102912 110301 137216 147068 205824 220602 274432 294136 411648 441204 588272 823296 882408 1176544 1764816 2353088 2463389 3529632 4706176 4926778 7059264 7390167 9412352 9853556 14118528 14780334 18824704 19707112 28237056 29560668 37649408 39414224 56474112 59121336 75298816 78828448 112948224 118242672 150597632 157656896 225896448 236485344 315313792 451792896 472970688 630627584 945941376 1261255168 1891882752 2522510336 3783765504 5045020672 7567531008 10090041344 15135062016 30270124032