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106839248 = 2429230257
BaseRepresentation
bin1100101111000…
…11110011010000
321110000222220012
412113203303100
5204322323443
614333534052
72435055455
oct627436320
9243028805
10106839248
11553429aa
122b944328
13191997b9
141029182c
1595a6118
hex65e3cd0

106839248 has 20 divisors (see below), whose sum is σ = 214139940. Its totient is φ = 51577344.

The previous prime is 106839247. The next prime is 106839251. The reversal of 106839248 is 842938601.

It can be written as a sum of positive squares in 2 ways, for example, as 33085504 + 73753744 = 5752^2 + 8588^2 .

It is a super-2 number, since 2×1068392482 = 22829249826411008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106839247) 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, 114665 + ... + 115592.

It is an arithmetic number, because the mean of its divisors is an integer number (10706997).

Almost surely, 2106839248 is an apocalyptic number.

It is an amenable number.

106839248 is an abundant number, since it is smaller than the sum of its proper divisors (107300692).

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

106839248 is a wasteful number, since it uses less digits than its factorization.

106839248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230294 (or 230288 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 106839248 is about 10336.3072709745. The cubic root of 106839248 is about 474.5080750257.

The spelling of 106839248 in words is "one hundred six million, eight hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 230257 460514 921028 1842056 3684112 6677453 13354906 26709812 53419624 106839248