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106930096 = 247132712
BaseRepresentation
bin1100101111110…
…01111110110000
321110012121111221
412113321332300
5204333230341
614335514424
72435614360
oct627717660
9243177457
10106930096
11553a5189
122b988a14
13191cbc60
14102b69a0
1595c2ed1
hex65f9fb0

106930096 has 60 divisors (see below), whose sum is σ = 255931536. Its totient is φ = 42145920.

The previous prime is 106930079. The next prime is 106930099. The reversal of 106930096 is 690039601.

It is a super-2 number, since 2×1069300962 = 22868090861138432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106930099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394441 + ... + 394711.

Almost surely, 2106930096 is an apocalyptic number.

106930096 is a gapful number since it is divisible by the number (16) 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 106930096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127965768).

106930096 is an abundant number, since it is smaller than the sum of its proper divisors (149001440).

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

106930096 is an equidigital number, since it uses as much as digits as its factorization.

106930096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 106930096 is about 10340.7009433597. The cubic root of 106930096 is about 474.6425321581.

Adding to 106930096 its reverse (690039601), we get a palindrome (796969697).

The spelling of 106930096 in words is "one hundred six million, nine hundred thirty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 271 364 542 728 1084 1456 1897 2168 3523 3794 4336 7046 7588 14092 15176 24661 28184 30352 49322 56368 73441 98644 146882 197288 293764 394576 514087 587528 954733 1028174 1175056 1909466 2056348 3818932 4112696 6683131 7637864 8225392 13366262 15275728 26732524 53465048 106930096