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1138752 = 2633659
BaseRepresentation
bin100010110000001000000
32010212002000
410112001000
5242420002
640224000
712451656
oct4260100
92125060
101138752
1170861a
1246b000
1330b424
14218dd6
1517761c
hex116040

1138752 has 56 divisors (see below), whose sum is σ = 3352800. Its totient is φ = 379008.

The previous prime is 1138751. The next prime is 1138757. The reversal of 1138752 is 2578311.

It is a super-2 number, since 2×11387522 = 2593512235008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1138751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399 + ... + 2057.

21138752 is an apocalyptic number.

1138752 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 1138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676400).

1138752 is an abundant number, since it is smaller than the sum of its proper divisors (2214048).

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

1138752 is an equidigital number, since it uses as much as digits as its factorization.

1138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1138752 is about 1067.1232356200. The cubic root of 1138752 is about 104.4262584234.

The spelling of 1138752 in words is "one million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 659 864 1318 1728 1977 2636 3954 5272 5931 7908 10544 11862 15816 17793 21088 23724 31632 35586 42176 47448 63264 71172 94896 126528 142344 189792 284688 379584 569376 1138752