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106894816 = 257477209
BaseRepresentation
bin1100101111100…
…01010111100000
321110010211010021
412113301113200
5204331113231
614335043224
72435406460
oct627612740
9243124107
10106894816
1155380726
122b970514
13191b8b92
14102a7ba0
1595b7811
hex65f15e0

106894816 has 24 divisors (see below), whose sum is σ = 240513840. Its totient is φ = 45811968.

The previous prime is 106894811. The next prime is 106894867. The reversal of 106894816 is 618498601.

It is a super-2 number, since 2×1068948162 = 22853003375347712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106894811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238381 + ... + 238828.

It is an arithmetic number, because the mean of its divisors is an integer number (10021410).

Almost surely, 2106894816 is an apocalyptic number.

106894816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106894816 is an abundant number, since it is smaller than the sum of its proper divisors (133619024).

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

106894816 is an equidigital number, since it uses as much as digits as its factorization.

106894816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477226 (or 477218 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 106894816 is about 10338.9949221382. The cubic root of 106894816 is about 474.5903259938.

The spelling of 106894816 in words is "one hundred six million, eight hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 477209 954418 1908836 3340463 3817672 6680926 7635344 13361852 15270688 26723704 53447408 106894816