Search a number
-
+
2706396 = 22371129101
BaseRepresentation
bin1010010100101111011100
312002111110220
422110233130
51143101041
6134001340
732001240
oct12245734
95074426
102706396
1115893a0
12aa6250
13739b24
14506420
15386d66
hex294bdc

2706396 has 96 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 672000.

The previous prime is 2706391. The next prime is 2706413. The reversal of 2706396 is 6936072.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26746 + ... + 26846.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

22706396 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 2706396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2706396 is an abundant number, since it is smaller than the sum of its proper divisors (5518884).

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

2706396 is a wasteful number, since it uses less digits than its factorization.

2706396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 2706396 is about 1645.1127620926. The cubic root of 2706396 is about 139.3575323816.

It can be divided in two parts, 270 and 6396, that added together give a palindrome (6666).

The spelling of 2706396 in words is "two million, seven hundred six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 101 116 132 154 174 202 203 231 303 308 319 348 404 406 462 606 609 638 707 812 924 957 1111 1212 1218 1276 1414 1914 2121 2222 2233 2436 2828 2929 3333 3828 4242 4444 4466 5858 6666 6699 7777 8484 8787 8932 11716 13332 13398 15554 17574 20503 23331 26796 31108 32219 35148 41006 46662 61509 64438 82012 93324 96657 123018 128876 193314 225533 246036 386628 451066 676599 902132 1353198 2706396