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1138632 = 2331119227
BaseRepresentation
bin100010101111111001000
32010211220120
410111333020
5242414012
640223240
712451425
oct4257710
92124816
101138632
11708520
1246ab20
1330b361
14218d4c
1517758c
hex115fc8

1138632 has 64 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 325440.

The previous prime is 1138591. The next prime is 1138637. The reversal of 1138632 is 2368311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4903 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

21138632 is an apocalyptic number.

1138632 is a gapful number since it is divisible by the number (12) 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 1138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600).

1138632 is an abundant number, since it is smaller than the sum of its proper divisors (2144568).

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

1138632 is a wasteful number, since it uses less digits than its factorization.

1138632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1138632 is about 1067.0670082052. The cubic root of 1138632 is about 104.4225901997.

It can be divided in two parts, 1138 and 632, that added together give a triangular number (1770 = T59).

The spelling of 1138632 in words is "one million, one hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 227 228 264 418 454 456 627 681 836 908 1254 1362 1672 1816 2497 2508 2724 4313 4994 5016 5448 7491 8626 9988 12939 14982 17252 19976 25878 29964 34504 47443 51756 59928 94886 103512 142329 189772 284658 379544 569316 1138632