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1383860680 = 235374212221
BaseRepresentation
bin101001001111100…
…0000100111001000
310120102222101222021
41102133000213020
510313232020210
6345152534224
746202423146
oct12237004710
93512871867
101383860680
11650176014
12327551374
1319091a697
14d1b10596
1581757bda
hex527c09c8

1383860680 has 64 divisors (see below), whose sum is σ = 3206879280. Its totient is φ = 537062400.

The previous prime is 1383860671. The next prime is 1383860683. The reversal of 1383860680 is 860683831.

It can be written as a sum of positive squares in 8 ways, for example, as 540190564 + 843670116 = 23242^2 + 29046^2 .

It is not an unprimeable number, because it can be changed into a prime (1383860683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 621970 + ... + 624190.

Almost surely, 21383860680 is an apocalyptic number.

1383860680 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 1383860680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603439640).

1383860680 is an abundant number, since it is smaller than the sum of its proper divisors (1823018600).

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

1383860680 is a wasteful number, since it uses less digits than its factorization.

1383860680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1383860680 is about 37200.2779559508. The cubic root of 1383860680 is about 1114.3735358915.

The spelling of 1383860680 in words is "one billion, three hundred eighty-three million, eight hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 421 740 842 1480 1684 2105 2221 3368 4210 4442 8420 8884 11105 15577 16840 17768 22210 31154 44420 62308 77885 82177 88840 124616 155770 164354 311540 328708 410885 623080 657416 821770 935041 1643540 1870082 3287080 3740164 4675205 7480328 9350410 18700820 34596517 37401640 69193034 138386068 172982585 276772136 345965170 691930340 1383860680