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1138738328 = 237137122031
BaseRepresentation
bin100001111011111…
…1100010010011000
32221100201220022122
41003313330102120
54313004111303
6304555040412
740135054550
oct10367742230
92840656278
101138738328
11534873a62
12279440108
13151bc5180
14ab344160
1569e88e38
hex43dfc498

1138738328 has 64 divisors (see below), whose sum is σ = 2664990720. Its totient is φ = 444124800.

The previous prime is 1138738327. The next prime is 1138738333. The reversal of 1138738328 is 8238378311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138738327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40673 + ... + 62703.

It is an arithmetic number, because the mean of its divisors is an integer number (41640480).

Almost surely, 21138738328 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 1138738328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

1138738328 is an abundant number, since it is smaller than the sum of its proper divisors (1526252392).

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

1138738328 is a wasteful number, since it uses less digits than its factorization.

1138738328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22128 (or 22124 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 1138738328 is about 33745.1971101074. The cubic root of 1138738328 is about 1044.2584050345.

The spelling of 1138738328 in words is "one billion, one hundred thirty-eight million, seven hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 91 104 142 182 284 364 497 568 728 923 994 1846 1988 3692 3976 6461 7384 12922 22031 25844 44062 51688 88124 154217 176248 286403 308434 572806 616868 1145612 1233736 1564201 2004821 2291224 3128402 4009642 6256804 8019284 10949407 12513608 16038568 20334613 21898814 40669226 43797628 81338452 87595256 142342291 162676904 284684582 569369164 1138738328