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1138050 = 23452281
BaseRepresentation
bin100010101110110000010
32010211010000
410111312002
5242404200
640220430
712446634
oct4256602
92124100
101138050
11708041
1246a716
1330b004
14218a54
15177300
hex115d82

1138050 has 60 divisors (see below), whose sum is σ = 3173346. Its totient is φ = 302400.

The previous prime is 1138019. The next prime is 1138057. The reversal of 1138050 is 508311.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 927369 + 210681 = 963^2 + 459^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1138057) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3910 + ... + 4190.

21138050 is an apocalyptic number.

1138050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1138050 is the 675-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586673).

1138050 is an abundant number, since it is smaller than the sum of its proper divisors (2035296).

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

1138050 is a wasteful number, since it uses less digits than its factorization.

1138050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1138050 is about 1066.7942632017. The cubic root of 1138050 is about 104.4047956576.

The spelling of 1138050 in words is "one million, one hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 281 405 450 562 675 810 843 1350 1405 1686 2025 2529 2810 4050 4215 5058 7025 7587 8430 12645 14050 15174 21075 22761 25290 37935 42150 45522 63225 75870 113805 126450 189675 227610 379350 569025 1138050