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7196896 = 25719289
BaseRepresentation
bin11011011101000011100000
3111112122021201
4123131003200
53320300041
6414130544
7115113130
oct33350340
914478251
107196896
114076153
1224b0a54
13164ca25
14d54ac0
15972631
hex6dd0e0

7196896 has 72 divisors (see below), whose sum is σ = 17282160. Its totient is φ = 2889216.

The previous prime is 7196887. The next prime is 7196897. The reversal of 7196896 is 6986917.

Its product of digits (163296) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7196897) 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, 80820 + ... + 80908.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 27196896 is an apocalyptic number.

7196896 is a gapful number since it is divisible by the number (76) 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 7196896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641080).

7196896 is an abundant number, since it is smaller than the sum of its proper divisors (10085264).

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

7196896 is a wasteful number, since it uses less digits than its factorization.

7196896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 7196896 is about 2682.7031143979. The cubic root of 7196896 is about 193.0701240525.

It can be divided in two parts, 719689 and 6, that multiplied together give a palindrome (4318134).

The spelling of 7196896 in words is "seven million, one hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 89 112 133 152 178 224 266 304 356 361 532 608 623 712 722 1064 1246 1424 1444 1691 2128 2492 2527 2848 2888 3382 4256 4984 5054 5776 6764 9968 10108 11552 11837 13528 19936 20216 23674 27056 32129 40432 47348 54112 64258 80864 94696 128516 189392 224903 257032 378784 449806 514064 899612 1028128 1799224 3598448 7196896