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106917390 = 23252634517
BaseRepresentation
bin1100101111101…
…10111000001110
321110011222002100
412113312320032
5204332324030
614335335530
72435532336
oct627667016
9243158070
10106917390
1155396688
122b9815a6
13191c6238
14102b20c6
1595be360
hex65f6e0e

106917390 has 48 divisors (see below), whose sum is σ = 279103968. Its totient is φ = 28396608.

The previous prime is 106917373. The next prime is 106917401. The reversal of 106917390 is 93719601.

It is a super-2 number, since 2×1069173902 = 22862656568824200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21412 + ... + 25928.

It is an arithmetic number, because the mean of its divisors is an integer number (5814666).

Almost surely, 2106917390 is an apocalyptic number.

106917390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106917390 is an abundant number, since it is smaller than the sum of its proper divisors (172186578).

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

106917390 is a wasteful number, since it uses less digits than its factorization.

106917390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 106917390 is about 10340.0865566977. The cubic root of 106917390 is about 474.6237315674.

It can be divided in two parts, 10691 and 7390, that added together give a palindrome (18081).

The spelling of 106917390 in words is "one hundred six million, nine hundred seventeen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 263 526 789 1315 1578 2367 2630 3945 4517 4734 7890 9034 11835 13551 22585 23670 27102 40653 45170 67755 81306 135510 203265 406530 1187971 2375942 3563913 5939855 7127826 10691739 11879710 17819565 21383478 35639130 53458695 106917390