Search a number
-
+
1206772 = 227247131
BaseRepresentation
bin100100110100111110100
32021022101021
410212213310
5302104042
641510524
713154200
oct4464764
92238337
101206772
11754736
124a2444
13333388
14235b00
1518c867
hex1269f4

1206772 has 36 divisors (see below), whose sum is σ = 2528064. Its totient is φ = 502320.

The previous prime is 1206769. The next prime is 1206773. The reversal of 1206772 is 2776021.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206773) 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 11 ways as a sum of consecutive naturals, for example, 9147 + ... + 9277.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

21206772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264032).

1206772 is an abundant number, since it is smaller than the sum of its proper divisors (1321292).

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

1206772 is a wasteful number, since it uses less digits than its factorization.

1206772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 1206772 is about 1098.5317473792. The cubic root of 1206772 is about 106.4653799468.

The spelling of 1206772 in words is "one million, two hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 47 49 94 98 131 188 196 262 329 524 658 917 1316 1834 2303 3668 4606 6157 6419 9212 12314 12838 24628 25676 43099 86198 172396 301693 603386 1206772