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1138901984 = 25114317507
BaseRepresentation
bin100001111100010…
…0100001111100000
32221101001012210222
41003320210033200
54313024330414
6305002342212
740136335643
oct10370441740
92841035728
101138901984
11534975a10
122794ba968
13151c517cc
14ab387a5a
1569ebc68e
hex43e243e0

1138901984 has 48 divisors (see below), whose sum is σ = 2452052736. Its totient is φ = 516412800.

The previous prime is 1138901969. The next prime is 1138901987. The reversal of 1138901984 is 4891098311.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138901987) 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 7 ways as a sum of consecutive naturals, for example, 147959 + ... + 155465.

It is an arithmetic number, because the mean of its divisors is an integer number (51084432).

Almost surely, 21138901984 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 1138901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226026368).

1138901984 is an abundant number, since it is smaller than the sum of its proper divisors (1313150752).

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

1138901984 is a wasteful number, since it uses less digits than its factorization.

1138901984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7951 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 44.

The square root of 1138901984 is about 33747.6219014022. The cubic root of 1138901984 is about 1044.3084285161.

The spelling of 1138901984 in words is "one billion, one hundred thirty-eight million, nine hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 862 1724 3448 4741 6896 7507 9482 13792 15014 18964 30028 37928 60056 75856 82577 120112 151712 165154 240224 330308 660616 1321232 2642464 3235517 6471034 12942068 25884136 35590687 51768272 71181374 103536544 142362748 284725496 569450992 1138901984