Search a number
-
+
1138423104 = 263271337587
BaseRepresentation
bin100001111011010…
…1111010101000000
32221100010212220200
41003312233111000
54312414014404
6304544205200
740132302540
oct10366572500
92840125820
101138423104
11534679145
12279309800
13151b14850
14ab2a1320
1569e25839
hex43daf540

1138423104 has 336 divisors, whose sum is σ = 4131673728. Its totient is φ = 291631104.

The previous prime is 1138423087. The next prime is 1138423127. The reversal of 1138423104 is 4013248311.

1138423104 is a `hidden beast` number, since 1 + 138 + 423 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939099 + ... + 1939685.

It is an arithmetic number, because the mean of its divisors is an integer number (12296648).

Almost surely, 21138423104 is an apocalyptic number.

1138423104 is a gapful number since it is divisible by the number (14) 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 1138423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065836864).

1138423104 is an abundant number, since it is smaller than the sum of its proper divisors (2993250624).

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

1138423104 is a wasteful number, since it uses less digits than its factorization.

1138423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1138423104 is about 33740.5261369766. The cubic root of 1138423104 is about 1044.1620394101.

The spelling of 1138423104 in words is "one billion, one hundred thirty-eight million, four hundred twenty-three thousand, one hundred four".