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106538238 = 23252311317
BaseRepresentation
bin1100101100110…
…10010011111110
321102110200222200
412112122103332
5204233210423
614323252330
72432363052
oct626322376
9242420880
10106538238
1155157834
122b81a0a6
13190c27a1
1410213c62
159546d43
hex659a4fe

106538238 has 24 divisors (see below), whose sum is σ = 231294648. Its totient is φ = 35441712.

The previous prime is 106538233. The next prime is 106538249. The reversal of 106538238 is 832835601.

It is a super-2 number, since 2×1065382382 = 22700792312289288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106538233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3756 + ... + 15072.

It is an arithmetic number, because the mean of its divisors is an integer number (9637277).

Almost surely, 2106538238 is an apocalyptic number.

106538238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106538238 is an abundant number, since it is smaller than the sum of its proper divisors (124756410).

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

106538238 is a wasteful number, since it uses less digits than its factorization.

106538238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106538238 is about 10321.7361911647. The cubic root of 106538238 is about 474.0620278812.

The spelling of 106538238 in words is "one hundred six million, five hundred thirty-eight thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 523 1046 1569 3138 4707 9414 11317 22634 33951 67902 101853 203706 5918791 11837582 17756373 35512746 53269119 106538238