Search a number
-
+
1320300120 = 233519579079
BaseRepresentation
bin100111010110010…
…0010111001011000
310102000101012021110
41032230202321120
510200444100440
6335002340320
744501236326
oct11654427130
93360335243
101320300120
11618303027
1230a1ba6a0
131806c4b99
14c74c6d16
157ada0080
hex4eb22e58

1320300120 has 64 divisors (see below), whose sum is σ = 4169376000. Its totient is φ = 333548928.

The previous prime is 1320300109. The next prime is 1320300127. The reversal of 1320300120 is 210030231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1320300096 and 1320300105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320300127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287260 + ... + 291819.

It is an arithmetic number, because the mean of its divisors is an integer number (65146500).

Almost surely, 21320300120 is an apocalyptic number.

1320300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320300120 is an abundant number, since it is smaller than the sum of its proper divisors (2849075880).

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

1320300120 is a wasteful number, since it uses less digits than its factorization.

1320300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579112 (or 579108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320300120 is about 36335.9342799934. The cubic root of 1320300120 is about 1097.0444405574.

Adding to 1320300120 its reverse (210030231), we get a palindrome (1530330351).

The spelling of 1320300120 in words is "one billion, three hundred twenty million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 579079 1158158 1737237 2316316 2895395 3474474 4632632 5790790 6948948 8686185 11002501 11581580 13897896 17372370 22005002 23163160 33007503 34744740 44010004 55012505 66015006 69489480 88020008 110025010 132030012 165037515 220050020 264060024 330075030 440100040 660150060 1320300120