Search a number
-
+
1320231120 = 2435133671153
BaseRepresentation
bin100111010110001…
…0010000011010000
310102000020200121220
41032230102003100
510200434343440
6335001045040
744500531215
oct11654220320
93360220556
101320231120
116182661aa
1230a186780
1318069c660
14c74a9b0c
157ad898d0
hex4eb120d0

1320231120 has 160 divisors (see below), whose sum is σ = 4423383552. Its totient is φ = 323813376.

The previous prime is 1320231109. The next prime is 1320231179. The reversal of 1320231120 is 211320231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320231120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144464 + ... + 1145616.

Almost surely, 21320231120 is an apocalyptic number.

1320231120 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 1320231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211691776).

1320231120 is an abundant number, since it is smaller than the sum of its proper divisors (3103152432).

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

1320231120 is a wasteful number, since it uses less digits than its factorization.

1320231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1320231120 is about 36334.9847942723. The cubic root of 1320231120 is about 1097.0253294013.

Adding to 1320231120 its reverse (211320231), we get a palindrome (1531551351).

The spelling of 1320231120 in words is "one billion, three hundred twenty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 367 390 520 624 734 780 1040 1101 1153 1468 1560 1835 2202 2306 2936 3120 3459 3670 4404 4612 4771 5505 5765 5872 6918 7340 8808 9224 9542 11010 11530 13836 14313 14680 14989 17295 17616 18448 19084 22020 23060 23855 27672 28626 29360 29978 34590 38168 44040 44967 46120 47710 55344 57252 59956 69180 71565 74945 76336 88080 89934 92240 95420 114504 119912 138360 143130 149890 179868 190840 224835 229008 239824 276720 286260 299780 359736 381680 423151 449670 572520 599560 719472 846302 899340 1145040 1199120 1269453 1692604 1798680 2115755 2538906 3385208 3597360 4231510 5077812 5500963 6347265 6770416 8463020 10155624 11001926 12694530 16502889 16926040 20311248 22003852 25389060 27504815 33005778 33852080 44007704 50778120 55009630 66011556 82514445 88015408 101556240 110019260 132023112 165028890 220038520 264046224 330057780 440077040 660115560 1320231120