Search a number
-
+
30265250720 = 255436765657
BaseRepresentation
bin11100001011111100…
…110001001110100000
32220010020102000221212
4130023330301032200
5443440401010340
621523105205252
72121000246365
oct341374611640
986106360855
1030265250720
1111920a43901
125a47930828
132b143172a3
14167177446c
15bc2071a65
hex70bf313a0

30265250720 has 96 divisors (see below), whose sum is σ = 74257622208. Its totient is φ = 11647899648.

The previous prime is 30265250693. The next prime is 30265250723. The reversal of 30265250720 is 2705256203.

It is a super-2 number, since 2×302652507202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (30265250723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428132 + ... + 493788.

It is an arithmetic number, because the mean of its divisors is an integer number (773516898).

Almost surely, 230265250720 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 30265250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37128811104).

30265250720 is an abundant number, since it is smaller than the sum of its proper divisors (43992371488).

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

30265250720 is a wasteful number, since it uses less digits than its factorization.

30265250720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65782 (or 65774 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 30265250720 in words is "thirty billion, two hundred sixty-five million, two hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 67 80 86 134 160 172 215 268 335 344 430 536 670 688 860 1072 1340 1376 1720 2144 2680 2881 3440 5360 5762 6880 10720 11524 14405 23048 28810 46096 57620 65657 92192 115240 131314 230480 262628 328285 460960 525256 656570 1050512 1313140 2101024 2626280 2823251 4399019 5252560 5646502 8798038 10505120 11293004 14116255 17596076 21995095 22586008 28232510 35192152 43990190 45172016 56465020 70384304 87980380 90344032 112930040 140768608 175960760 189157817 225860080 351921520 378315634 451720160 703843040 756631268 945789085 1513262536 1891578170 3026525072 3783156340 6053050144 7566312680 15132625360 30265250720