Search a number
-
+
30001160 = 2357109983
BaseRepresentation
bin111001001110…
…0100000001000
32002110012212002
41302130200020
530140014120
62551010132
7513001640
oct162344010
962405762
1030001160
1115a31352
12a069948
1362a5687
143dad520
152979375
hex1c9c808

30001160 has 64 divisors (see below), whose sum is σ = 77932800. Its totient is φ = 10181376.

The previous prime is 30001157. The next prime is 30001201. The reversal of 30001160 is 6110003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30029 + ... + 31011.

It is an arithmetic number, because the mean of its divisors is an integer number (1217700).

Almost surely, 230001160 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 30001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966400).

30001160 is an abundant number, since it is smaller than the sum of its proper divisors (47931640).

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

30001160 is a wasteful number, since it uses less digits than its factorization.

30001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 30001160 is about 5477.3314670558. The cubic root of 30001160 is about 310.7272554212.

Adding to 30001160 its reverse (6110003), we get a palindrome (36111163).

The spelling of 30001160 in words is "thirty million, one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 983 1090 1526 1966 2180 3052 3815 3932 4360 4915 6104 6881 7630 7864 9830 13762 15260 19660 27524 30520 34405 39320 55048 68810 107147 137620 214294 275240 428588 535735 750029 857176 1071470 1500058 2142940 3000116 3750145 4285880 6000232 7500290 15000580 30001160