[go: up one dir, main page]

Search a number
-
+
2732796 = 22321167103
BaseRepresentation
bin1010011011001011111100
312010211200200
422123023330
51144422141
6134323500
732141223
oct12331374
95124620
102732796
1115a7210
12ab9590
13748b51
14511cba
1538eab6
hex29b2fc

2732796 has 72 divisors (see below), whose sum is σ = 7722624. Its totient is φ = 807840.

The previous prime is 2732761. The next prime is 2732797. The reversal of 2732796 is 6972372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 219 + 7 + 37 + 219 + 74 + 9 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2732796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26481 + ... + 26583.

22732796 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 2732796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861312).

2732796 is an abundant number, since it is smaller than the sum of its proper divisors (4989828).

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

2732796 is a wasteful number, since it uses less digits than its factorization.

2732796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 2732796 is about 1653.1170557465. The cubic root of 2732796 is about 139.8091958560.

It can be divided in two parts, 27 and 32796, that added together give a palindrome (32823).

The spelling of 2732796 in words is "two million, seven hundred thirty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 103 132 134 198 201 206 268 309 396 402 412 603 618 737 804 927 1133 1206 1236 1474 1854 2211 2266 2412 2948 3399 3708 4422 4532 6633 6798 6901 8844 10197 13266 13596 13802 20394 20703 26532 27604 40788 41406 62109 75911 82812 124218 151822 227733 248436 303644 455466 683199 910932 1366398 2732796