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1086385638 = 2313313712143
BaseRepresentation
bin100000011000000…
…1110110111100110
32210201020002221010
41000300032313212
54211103320023
6255445003050
735631061032
oct10060166746
92721202833
101086385638
11508266678
122639b3486
131440c4c50
14a43d71c2
1565597093
hex40c0ede6

1086385638 has 64 divisors (see below), whose sum is σ = 2480873472. Its totient is φ = 314720640.

The previous prime is 1086385633. The next prime is 1086385639. The reversal of 1086385638 is 8365836801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086385633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83395 + ... + 95537.

It is an arithmetic number, because the mean of its divisors is an integer number (38763648).

Almost surely, 21086385638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086385638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240436736).

1086385638 is an abundant number, since it is smaller than the sum of its proper divisors (1394487834).

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

1086385638 is a wasteful number, since it uses less digits than its factorization.

1086385638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229.

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 1086385638 is about 32960.3646521091. The cubic root of 1086385638 is about 1028.0036860128.

The spelling of 1086385638 in words is "one billion, eighty-six million, three hundred eighty-five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 26 31 37 39 62 74 78 93 111 186 222 403 481 806 962 1147 1209 1443 2294 2418 2886 3441 6882 12143 14911 24286 29822 36429 44733 72858 89466 157859 315718 376433 449291 473577 752866 898582 947154 1129299 1347873 2258598 2695746 4893629 5840783 9787258 11681566 13928021 14680887 17522349 27856042 29361774 35044698 41784063 83568126 181064273 362128546 543192819 1086385638