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106394232 = 2337312659
BaseRepresentation
bin1100101011101…
…11001001111000
321102012101110010
412111313021320
5204214103412
614320221520
72431223160
oct625671170
9242171403
10106394232
115506961a
122b76a8a0
1319072089
14101b75a0
15951933c
hex6577278

106394232 has 96 divisors (see below), whose sum is σ = 314582400. Its totient is φ = 29373120.

The previous prime is 106394231. The next prime is 106394237. The reversal of 106394232 is 232493601.

It is a super-2 number, since 2×1063942322 = 22639465205739648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106394232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106394231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161119 + ... + 161777.

It is an arithmetic number, because the mean of its divisors is an integer number (3276900).

Almost surely, 2106394232 is an apocalyptic number.

106394232 is a gapful number since it is divisible by the number (12) 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 106394232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157291200).

106394232 is an abundant number, since it is smaller than the sum of its proper divisors (208188168).

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

106394232 is a wasteful number, since it uses less digits than its factorization.

106394232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 106394232 is about 10314.7579709851. The cubic root of 106394232 is about 473.8483375993.

The spelling of 106394232 in words is "one hundred six million, three hundred ninety-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 659 744 868 961 1302 1318 1736 1922 1977 2604 2636 2883 3844 3954 4613 5208 5272 5766 6727 7688 7908 9226 11532 13454 13839 15816 18452 20181 20429 23064 26908 27678 36904 40362 40858 53816 55356 61287 80724 81716 110712 122574 143003 161448 163432 245148 286006 429009 490296 572012 633299 858018 1144024 1266598 1716036 1899897 2533196 3432072 3799794 4433093 5066392 7599588 8866186 13299279 15199176 17732372 26598558 35464744 53197116 106394232