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997696 = 26717131
BaseRepresentation
bin11110011100101000000
31212200120201
43303211000
5223411241
633214544
711323510
oct3634500
91780521
10997696
11621647
12401454
1328c16b
141bd840
1514a931
hexf3940

997696 has 56 divisors (see below), whose sum is σ = 2414016. Its totient is φ = 399360.

The previous prime is 997693. The next prime is 997699. The reversal of 997696 is 696799.

It is an interprime number because it is at equal distance from previous prime (997693) and next prime (997699).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7551 + ... + 7681.

2997696 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 997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207008).

997696 is an abundant number, since it is smaller than the sum of its proper divisors (1416320).

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

997696 is a wasteful number, since it uses less digits than its factorization.

997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 183708, while the sum is 46.

The square root of 997696 is about 998.8473356825. The cubic root of 997696 is about 99.9231409420.

The spelling of 997696 in words is "nine hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 131 136 224 238 262 272 448 476 524 544 917 952 1048 1088 1834 1904 2096 2227 3668 3808 4192 4454 7336 7616 8384 8908 14672 15589 17816 29344 31178 35632 58688 62356 71264 124712 142528 249424 498848 997696