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106320336 = 243107127163
BaseRepresentation
bin1100101011001…
…01000111010000
321102001122002020
412111211013100
5204204222321
614314451440
72430464553
oct625450720
9242048066
10106320336
1155019051
122b733b80
1319047555
141019869a
1595024c6
hex65651d0

106320336 has 80 divisors (see below), whose sum is σ = 281124864. Its totient is φ = 34618752.

The previous prime is 106320323. The next prime is 106320353. The reversal of 106320336 is 633023601.

It is a super-2 number, since 2×1063203362 = 22608027694305792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652191 + ... + 652353.

Almost surely, 2106320336 is an apocalyptic number.

106320336 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 106320336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562432).

106320336 is an abundant number, since it is smaller than the sum of its proper divisors (174804528).

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

106320336 is a wasteful number, since it uses less digits than its factorization.

106320336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 106320336 is about 10311.1752967351. The cubic root of 106320336 is about 473.7386085727.

Adding to 106320336 its reverse (633023601), we get a palindrome (739343937).

The spelling of 106320336 in words is "one hundred six million, three hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 127 163 214 254 321 326 381 428 489 508 642 652 762 856 978 1016 1284 1304 1524 1712 1956 2032 2568 2608 3048 3912 5136 6096 7824 13589 17441 20701 27178 34882 40767 41402 52323 54356 62103 69764 81534 82804 104646 108712 124206 139528 163068 165608 209292 217424 248412 279056 326136 331216 418584 496824 652272 837168 993648 2215007 4430014 6645021 8860028 13290042 17720056 26580084 35440112 53160168 106320336