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1300421320 = 2351126910987
BaseRepresentation
bin100110110000010…
…1101101011001000
310100121222020200121
41031200231223020
510130401440240
6333012313024
744140253542
oct11540555310
93317866617
101300421320
11608065870
12303612774
13179554993
14c49d0692
157927504a
hex4d82dac8

1300421320 has 64 divisors (see below), whose sum is σ = 3204100800. Its totient is φ = 471079680.

The previous prime is 1300421279. The next prime is 1300421327. The reversal of 1300421320 is 231240031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1300421294 and 1300421303.

It is not an unprimeable number, because it can be changed into a prime (1300421327) 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, 112867 + ... + 123853.

It is an arithmetic number, because the mean of its divisors is an integer number (50064075).

Almost surely, 21300421320 is an apocalyptic number.

1300421320 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 1300421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602050400).

1300421320 is an abundant number, since it is smaller than the sum of its proper divisors (1903679480).

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

1300421320 is a wasteful number, since it uses less digits than its factorization.

1300421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11278 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300421320 is about 36061.3549384934. The cubic root of 1300421320 is about 1091.5107743388.

Adding to 1300421320 its reverse (231240031), we get a palindrome (1531661351).

The spelling of 1300421320 in words is "one billion, three hundred million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 269 440 538 1076 1345 2152 2690 2959 5380 5918 10760 10987 11836 14795 21974 23672 29590 43948 54935 59180 87896 109870 118360 120857 219740 241714 439480 483428 604285 966856 1208570 2417140 2955503 4834280 5911006 11822012 14777515 23644024 29555030 32510533 59110060 65021066 118220120 130042132 162552665 260084264 325105330 650210660 1300421320