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106050336 = 2537157813
BaseRepresentation
bin1100101001000…
…11001100100000
321101112220201020
412110203030200
5204122102321
614305005440
72425261440
oct624431440
9241486636
10106050336
1154954207
122b623880
1318c816a2
1410128120
15949c4c6
hex6523320

106050336 has 48 divisors (see below), whose sum is σ = 318153024. Its totient is φ = 30299904.

The previous prime is 106050331. The next prime is 106050337. The reversal of 106050336 is 633050601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1060503362 = 22493347531425792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106050331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78235 + ... + 79578.

It is an arithmetic number, because the mean of its divisors is an integer number (6628188).

Almost surely, 2106050336 is an apocalyptic number.

106050336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106050336 is an abundant number, since it is smaller than the sum of its proper divisors (212102688).

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

106050336 is a wasteful number, since it uses less digits than its factorization.

106050336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157833 (or 157825 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106050336 is about 10298.0743831068. The cubic root of 106050336 is about 473.3372496315.

The spelling of 106050336 in words is "one hundred six million, fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 157813 315626 473439 631252 946878 1104691 1262504 1893756 2209382 2525008 3314073 3787512 4418764 5050016 6628146 7575024 8837528 13256292 15150048 17675056 26512584 35350112 53025168 106050336