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107148834 = 232133114771
BaseRepresentation
bin1100110001011…
…11011000100010
321110121201120100
412120233120202
5204412230314
614344323230
72440515162
oct630573042
9243551510
10107148834
1155534561
122ba73516
13192776a0
14103325a2
159617c09
hex662f622

107148834 has 48 divisors (see below), whose sum is σ = 258096384. Its totient is φ = 31903200.

The previous prime is 107148829. The next prime is 107148857. The reversal of 107148834 is 438841701.

It is a super-2 number, since 2×1071488342 = 22961745255119112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (5377008).

Almost surely, 2107148834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107148834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129048192).

107148834 is an abundant number, since it is smaller than the sum of its proper divisors (150947550).

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

107148834 is a wasteful number, since it uses less digits than its factorization.

107148834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14823 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107148834 is about 10351.2720957378. The cubic root of 107148834 is about 474.9659573017.

The spelling of 107148834 in words is "one hundred seven million, one hundred forty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 14771 29542 44313 88626 132939 192023 265878 384046 457901 576069 915802 1152138 1373703 1728207 2747406 3456414 4121109 5952713 8242218 11905426 17858139 35716278 53574417 107148834