Search a number
-
+
1330124320 = 25575920129
BaseRepresentation
bin100111101001000…
…0001011000100000
310102200212022112201
41033102001120200
510211002434240
6335553102544
744650604320
oct11722013040
93380768481
101330124320
116229030a8
12311557a54
13182754715
14c8923280
157bb90d9a
hex4f481620

1330124320 has 96 divisors (see below), whose sum is σ = 3652387200. Its totient is φ = 448290816.

The previous prime is 1330124303. The next prime is 1330124333. The reversal of 1330124320 is 234210331.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56016 + ... + 76144.

It is an arithmetic number, because the mean of its divisors is an integer number (38045700).

Almost surely, 21330124320 is an apocalyptic number.

1330124320 is a gapful number since it is divisible by the number (10) 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 1330124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826193600).

1330124320 is an abundant number, since it is smaller than the sum of its proper divisors (2322262880).

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

1330124320 is a wasteful number, since it uses less digits than its factorization.

1330124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20210 (or 20202 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1330124320 is about 36470.8694714014. The cubic root of 1330124320 is about 1099.7587129173.

Adding to 1330124320 its reverse (234210331), we get a palindrome (1564334651).

The spelling of 1330124320 in words is "one billion, three hundred thirty million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 4130 4720 6608 8260 9440 13216 16520 20129 33040 40258 66080 80516 100645 140903 161032 201290 281806 322064 402580 563612 644128 704515 805160 1127224 1187611 1409030 1610320 2254448 2375222 2818060 3220640 4508896 4750444 5636120 5938055 8313277 9500888 11272240 11876110 16626554 19001776 22544480 23752220 33253108 38003552 41566385 47504440 66506216 83132770 95008880 133012432 166265540 190017760 266024864 332531080 665062160 1330124320