Search a number
-
+
1066736 = 241121929
BaseRepresentation
bin100000100011011110000
32000012021202
410010123300
5233113421
634510332
712032006
oct4043360
92005252
101066736
11669500
124353a8
132b4708
141daa76
1516110b
hex1046f0

1066736 has 60 divisors (see below), whose sum is σ = 2473800. Its totient is φ = 443520.

The previous prime is 1066729. The next prime is 1066753. The reversal of 1066736 is 6376601.

It is a happy number.

It is a super-2 number, since 2×10667362 = 2275851387392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 1066699 and 1066708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36770 + ... + 36798.

It is an arithmetic number, because the mean of its divisors is an integer number (41230).

21066736 is an apocalyptic number.

1066736 is a gapful number since it is divisible by the number (16) 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 1066736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236900).

1066736 is an abundant number, since it is smaller than the sum of its proper divisors (1407064).

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

1066736 is a wasteful number, since it uses less digits than its factorization.

1066736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 1066736 is about 1032.8291242989. The cubic root of 1066736 is about 102.1768047206.

The spelling of 1066736 in words is "one million, sixty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 116 121 152 176 209 232 242 304 319 418 464 484 551 638 836 968 1102 1276 1672 1936 2204 2299 2552 3344 3509 4408 4598 5104 6061 7018 8816 9196 12122 14036 18392 24244 28072 36784 48488 56144 66671 96976 133342 266684 533368 1066736