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103992696 = 23321638861
BaseRepresentation
bin1100011001011…
…00110101111000
321020200101011100
412030230311320
5203110231241
614152531400
72401631463
oct614546570
9236611140
10103992696
1153779285
122a9b0b60
1318710c52
14db502da
1591e29b6
hex632cd78

103992696 has 48 divisors (see below), whose sum is σ = 283406760. Its totient is φ = 34447680.

The previous prime is 103992671. The next prime is 103992697. The reversal of 103992696 is 696299301.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103992697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7306 + ... + 16166.

Almost surely, 2103992696 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 103992696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141703380).

103992696 is an abundant number, since it is smaller than the sum of its proper divisors (179414064).

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

103992696 is a wasteful number, since it uses less digits than its factorization.

103992696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 103992696 is about 10197.6809128350. The cubic root of 103992696 is about 470.2559282168.

The spelling of 103992696 in words is "one hundred three million, nine hundred ninety-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 8861 11736 17722 26583 35444 53166 70888 79749 106332 159498 212664 318996 637992 1444343 2888686 4333029 5777372 8666058 11554744 12999087 17332116 25998174 34664232 51996348 103992696