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106926384 = 243107109191
BaseRepresentation
bin1100101111110…
…01000100110000
321110012102102110
412113321010300
5204333121014
614335445320
72435600505
oct627710460
9243172373
10106926384
11553a2414
122b986840
13191ca366
14102b54ac
1595c1d59
hex65f9130

106926384 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 34801920.

The previous prime is 106926383. The next prime is 106926389. The reversal of 106926384 is 483629601.

It is a super-2 number, since 2×1069263842 = 22866503190630912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106926383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559729 + ... + 559919.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2106926384 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 106926384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

106926384 is an abundant number, since it is smaller than the sum of its proper divisors (175912656).

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

106926384 is a wasteful number, since it uses less digits than its factorization.

106926384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 106926384 is about 10340.5214568705. The cubic root of 106926384 is about 474.6370398052.

The spelling of 106926384 in words is "one hundred six million, nine hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 109 191 214 218 321 327 382 428 436 573 642 654 764 856 872 1146 1284 1308 1528 1712 1744 2292 2568 2616 3056 4584 5136 5232 9168 11663 20437 20819 23326 34989 40874 41638 46652 61311 62457 69978 81748 83276 93304 122622 124914 139956 163496 166552 186608 245244 249828 279912 326992 333104 490488 499656 559824 980976 999312 2227633 4455266 6682899 8910532 13365798 17821064 26731596 35642128 53463192 106926384