Search a number
-
+
1136772 = 2232713347
BaseRepresentation
bin100010101100010000100
32010202100200
410111202010
5242334042
640210500
712443130
oct4254204
92122320
101136772
1170708a
12469a30
1330a560
142183c0
15176c4c
hex115884

1136772 has 72 divisors (see below), whose sum is σ = 3546816. Its totient is φ = 298944.

The previous prime is 1136767. The next prime is 1136809. The reversal of 1136772 is 2776311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3103 + ... + 3449.

21136772 is an apocalyptic number.

1136772 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 1136772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773408).

1136772 is an abundant number, since it is smaller than the sum of its proper divisors (2410044).

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

1136772 is a wasteful number, since it uses less digits than its factorization.

1136772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 1136772 is about 1066.1951040968. The cubic root of 1136772 is about 104.3656997462.

The spelling of 1136772 in words is "one million, one hundred thirty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 347 364 468 546 694 819 1041 1092 1388 1638 2082 2429 3123 3276 4164 4511 4858 6246 7287 9022 9716 12492 13533 14574 18044 21861 27066 29148 31577 40599 43722 54132 63154 81198 87444 94731 126308 162396 189462 284193 378924 568386 1136772