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1138063416 = 233722713571
BaseRepresentation
bin100001111010101…
…0111100000111000
32221022110121111220
41003311113200320
54312321012131
6304532352040
740126244100
oct10365274070
92838417456
101138063416
11534452986
12279175620
13151a19c09
14ab20a200
1569da3e96
hex43d57838

1138063416 has 96 divisors (see below), whose sum is σ = 3322817280. Its totient is φ = 323870400.

The previous prime is 1138063393. The next prime is 1138063439. The reversal of 1138063416 is 6143608311.

It is an interprime number because it is at equal distance from previous prime (1138063393) and next prime (1138063439).

It is a congruent number.

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, 316911 + ... + 320481.

It is an arithmetic number, because the mean of its divisors is an integer number (34612680).

Almost surely, 21138063416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138063416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661408640).

1138063416 is an abundant number, since it is smaller than the sum of its proper divisors (2184753864).

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

1138063416 is a wasteful number, since it uses less digits than its factorization.

1138063416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1138063416 is about 33735.1955085486. The cubic root of 1138063416 is about 1044.0520591765.

The spelling of 1138063416 in words is "one billion, one hundred thirty-eight million, sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 271 294 392 542 588 813 1084 1176 1626 1897 2168 3252 3571 3794 5691 6504 7142 7588 10713 11382 13279 14284 15176 21426 22764 24997 26558 28568 39837 42852 45528 49994 53116 74991 79674 85704 99988 106232 149982 159348 174979 199976 299964 318696 349958 524937 599928 699916 967741 1049874 1399832 1935482 2099748 2903223 3870964 4199496 5806446 6774187 7741928 11612892 13548374 20322561 23225784 27096748 40645122 47419309 54193496 81290244 94838618 142257927 162580488 189677236 284515854 379354472 569031708 1138063416