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1310404420 = 225138575881
BaseRepresentation
bin100111000011011…
…0010111101000100
310101022202102221001
41032012302331010
510140430420140
6334010303044
744321153023
oct11606627504
93338672831
101310404420
11612764266
12306a27a84
1317b63b940
14c606c8ba
157a097e9a
hex4e1b2f44

1310404420 has 48 divisors (see below), whose sum is σ = 2967492528. Its totient is φ = 483194880.

The previous prime is 1310404399. The next prime is 1310404423. The reversal of 1310404420 is 244040131.

It can be written as a sum of positive squares in 8 ways, for example, as 38340864 + 1272063556 = 6192^2 + 35666^2 .

It is not an unprimeable number, because it can be changed into a prime (1310404423) 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, 219880 + ... + 225760.

It is an arithmetic number, because the mean of its divisors is an integer number (61822761).

Almost surely, 21310404420 is an apocalyptic number.

1310404420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310404420 is an abundant number, since it is smaller than the sum of its proper divisors (1657088108).

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

1310404420 is a wasteful number, since it uses less digits than its factorization.

1310404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1310404420 is about 36199.5085602001. The cubic root of 1310404420 is about 1094.2967677344.

Adding to 1310404420 its reverse (244040131), we get a palindrome (1554444551).

It can be divided in two parts, 131040 and 4420, that added together give a triangular number (135460 = T520).

The spelling of 1310404420 in words is "one billion, three hundred ten million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 857 1714 3428 4285 5881 8570 11141 11762 17140 22282 23524 29405 44564 55705 58810 76453 111410 117620 152906 222820 305812 382265 764530 1529060 5040017 10080034 20160068 25200085 50400170 65520221 100800340 131040442 262080884 327601105 655202210 1310404420