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106532734 = 271119231583
BaseRepresentation
bin1100101100110…
…00111101111110
321102110102102211
412112120331332
5204233021414
614323211034
72432341030
oct626307576
9242412384
10106532734
1155153690
122b816a7a
13190c0129
1410211c50
1595453c4
hex6598f7e

106532734 has 64 divisors (see below), whose sum is σ = 218972160. Its totient is φ = 37588320.

The previous prime is 106532729. The next prime is 106532743. The reversal of 106532734 is 437235601.

It is a super-2 number, since 2×1065327342 = 22698446827029512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106532696 and 106532705.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66507 + ... + 68089.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 2106532734 is an apocalyptic number.

106532734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106532734 is an abundant number, since it is smaller than the sum of its proper divisors (112439426).

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

106532734 is a wasteful number, since it uses less digits than its factorization.

106532734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 106532734 is about 10321.4695659097. The cubic root of 106532734 is about 474.0538640444.

The spelling of 106532734 in words is "one hundred six million, five hundred thirty-two thousand, seven hundred thirty-four".

Divisors: 1 2 7 11 14 19 22 23 38 46 77 133 154 161 209 253 266 322 418 437 506 874 1463 1583 1771 2926 3059 3166 3542 4807 6118 9614 11081 17413 22162 30077 33649 34826 36409 60154 67298 72818 121891 210539 243782 254863 330847 400499 421078 509726 661694 691771 800998 1383542 2315929 2803493 4631858 4842397 5606986 7609481 9684794 15218962 53266367 106532734