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1316321280 = 211355232
BaseRepresentation
bin100111001110101…
…0111100000000000
310101201220001100000
41032131113200000
510143434240110
6334341200000
744422355241
oct11635274000
93351801300
101316321280
1161603572a
12308a00000
1317c930b41
14c6b6ccc8
157a8661c0
hex4e757800

1316321280 has 432 divisors, whose sum is σ = 4945744440. Its totient is φ = 335757312.

The previous prime is 1316321269. The next prime is 1316321309. The reversal of 1316321280 is 821236131.

It is a happy number.

1316321280 is a `hidden beast` number, since 1 + 3 + 1 + 632 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57231349 + ... + 57231371.

Almost surely, 21316321280 is an apocalyptic number.

1316321280 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 1316321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472872220).

1316321280 is an abundant number, since it is smaller than the sum of its proper divisors (3629423160).

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

1316321280 is an frugal number, since it uses more digits than its factorization.

1316321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1316321280 is about 36281.1422091422. The cubic root of 1316321280 is about 1095.9413185411.

It can be divided in two parts, 13163 and 21280, that added together give a palindrome (34443).

The spelling of 1316321280 in words is "one billion, three hundred sixteen million, three hundred twenty-one thousand, two hundred eighty".