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1316628720 = 2432511374493
BaseRepresentation
bin100111001111010…
…0010100011110000
310101202110200001200
41032132202203300
510144024104340
6334351531200
744425105461
oct11636424360
93352420050
101316628720
11616225710
12308b29b00
1317ca0aa64
14c6c0cd68
157a8c7330
hex4e7a28f0

1316628720 has 240 divisors, whose sum is σ = 4955120352. Its totient is φ = 310487040.

The previous prime is 1316628701. The next prime is 1316628787. The reversal of 1316628720 is 278266131.

1316628720 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 628 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13166287202 = 3467022372657676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290794 + ... + 295286.

Almost surely, 21316628720 is an apocalyptic number.

1316628720 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 1316628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477560176).

1316628720 is an abundant number, since it is smaller than the sum of its proper divisors (3638491632).

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

1316628720 is a wasteful number, since it uses less digits than its factorization.

1316628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1316628720 is about 36285.3788735904. The cubic root of 1316628720 is about 1096.0266345846.

It can be divided in two parts, 1316 and 628720, that added together give a palindrome (630036).

The spelling of 1316628720 in words is "one billion, three hundred sixteen million, six hundred twenty-eight thousand, seven hundred twenty".