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11742732 = 22364027
BaseRepresentation
bin101100110010…
…111000001100
3211002121000000
4230302320030
511001231412
61055404300
7201545241
oct54627014
924077000
1011742732
1166a0541
123b23690
132581b81
1417b95c8
15106e4dc
hexb32e0c

11742732 has 42 divisors (see below), whose sum is σ = 30818228. Its totient is φ = 3913272.

The previous prime is 11742713. The next prime is 11742751. The reversal of 11742732 is 23724711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11742713) and next prime (11742751).

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

It is a junction number, because it is equal to n+sod(n) for n = 11742696 and 11742705.

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 13 ways as a sum of consecutive naturals, for example, 903 + ... + 4929.

Almost surely, 211742732 is an apocalyptic number.

11742732 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 11742732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409114).

11742732 is an abundant number, since it is smaller than the sum of its proper divisors (19075496).

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

11742732 is an equidigital number, since it uses as much as digits as its factorization.

11742732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4032 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 11742732 is about 3426.7669894523. The cubic root of 11742732 is about 227.2949131893.

It can be divided in two parts, 117 and 42732, that added together give a square (42849 = 2072).

The spelling of 11742732 in words is "eleven million, seven hundred forty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4027 8054 12081 16108 24162 36243 48324 72486 108729 144972 217458 326187 434916 652374 978561 1304748 1957122 2935683 3914244 5871366 11742732