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1319998680 = 2334571121337
BaseRepresentation
bin100111010101101…
…1001010011011000
310101222210212210000
41032223121103120
510200404424210
6334552053000
744465542440
oct11653312330
93358725700
101319998680
11618117600
1230a094160
1318061a910
14c7449120
157ad40ac0
hex4ead94d8

1319998680 has 960 divisors, whose sum is σ = 6164262720. Its totient is φ = 246343680.

The previous prime is 1319998679. The next prime is 1319998739. The reversal of 1319998680 is 868999131.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35675622 + ... + 35675658.

It is an arithmetic number, because the mean of its divisors is an integer number (6421107).

Almost surely, 21319998680 is an apocalyptic number.

1319998680 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 1319998680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082131360).

1319998680 is an abundant number, since it is smaller than the sum of its proper divisors (4844264040).

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

1319998680 is a wasteful number, since it uses less digits than its factorization.

1319998680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1319998680 is about 36331.7860832632. The cubic root of 1319998680 is about 1096.9609448326.

It can be divided in two parts, 1319 and 998680, that added together give a palindrome (999999).

The spelling of 1319998680 in words is "one billion, three hundred nineteen million, nine hundred ninety-eight thousand, six hundred eighty".