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1138536 = 23347251
BaseRepresentation
bin100010101111101101000
32010211210000
410111331220
5242413121
640223000
712451230
oct4257550
92124700
101138536
11708443
1246aa60
1330b2b9
14218cc0
15177526
hex115f68

1138536 has 80 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 324000.

The previous prime is 1138519. The next prime is 1138547. The reversal of 1138536 is 6358311.

1138536 = T173 + T174 + ... + T228.

1138536 = 402 + 412 + ... + 1512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4411 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

21138536 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 1138536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520).

1138536 is an abundant number, since it is smaller than the sum of its proper divisors (2520504).

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

1138536 is a wasteful number, since it uses less digits than its factorization.

1138536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1138536 is about 1067.0220241401. The cubic root of 1138536 is about 104.4196554352.

It can be divided in two parts, 113 and 8536, that added together give a square (8649 = 932).

The spelling of 1138536 in words is "one million, one hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 251 252 324 378 502 504 567 648 753 756 1004 1134 1506 1512 1757 2008 2259 2268 3012 3514 4518 4536 5271 6024 6777 7028 9036 10542 13554 14056 15813 18072 20331 21084 27108 31626 40662 42168 47439 54216 63252 81324 94878 126504 142317 162648 189756 284634 379512 569268 1138536