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1316119680 = 27325415573
BaseRepresentation
bin100111001110010…
…0110010010000000
310101201111210210100
41032130212102000
510143411312210
6334333002400
744420555421
oct11634462200
93351453710
101316119680
11615a08217
12308923400
1317c890155
14c6b19648
157a8265c0
hex4e726480

1316119680 has 192 divisors, whose sum is σ = 4656408120. Its totient is φ = 342343680.

The previous prime is 1316119613. The next prime is 1316119723. The reversal of 1316119680 is 869116131.

It is a happy number.

1316119680 is a `hidden beast` number, since 1 + 31 + 611 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 344176704 + 971942976 = 18552^2 + 31176^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233374 + ... + 238946.

Almost surely, 21316119680 is an apocalyptic number.

1316119680 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 1316119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328204060).

1316119680 is an abundant number, since it is smaller than the sum of its proper divisors (3340288440).

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

1316119680 is a wasteful number, since it uses less digits than its factorization.

1316119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1316119680 is about 36278.3637999290. The cubic root of 1316119680 is about 1095.8853663827.

The spelling of 1316119680 in words is "one billion, three hundred sixteen million, one hundred nineteen thousand, six hundred eighty".