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1316946240 = 263251941587
BaseRepresentation
bin100111001111111…
…0000000101000000
310101210001210121200
41032133300011000
510144114234430
6334402421200
744430600261
oct11637600500
93353053550
101316946240
11616422225
12309061800
1317cabc43c
14c6c92968
157a93b460
hex4e7f0140

1316946240 has 336 divisors, whose sum is σ = 4892771520. Its totient is φ = 324034560.

The previous prime is 1316946233. The next prime is 1316946271. The reversal of 1316946240 is 426496131.

1316946240 is a `hidden beast` number, since 13 + 16 + 9 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1316946195 and 1316946204.

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 47 ways as a sum of consecutive naturals, for example, 2243227 + ... + 2243813.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 21316946240 is an apocalyptic number.

1316946240 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 1316946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446385760).

1316946240 is an abundant number, since it is smaller than the sum of its proper divisors (3575825280).

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

1316946240 is a wasteful number, since it uses less digits than its factorization.

1316946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1316946240 is about 36289.7539258673. The cubic root of 1316946240 is about 1096.1147339351.

The spelling of 1316946240 in words is "one billion, three hundred sixteen million, nine hundred forty-six thousand, two hundred forty".