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106306530 = 23511615281
BaseRepresentation
bin1100101011000…
…01101111100010
321102000221010220
412111201233202
5204203302110
614314303510
72430406401
oct625415742
9242027126
10106306530
1155009740
122b727b96
1319041195
1410193638
1594ed370
hex6561be2

106306530 has 64 divisors (see below), whose sum is σ = 282946176. Its totient is φ = 25344000.

The previous prime is 106306511. The next prime is 106306531. The reversal of 106306530 is 35603601.

It is a super-2 number, since 2×1063065302 = 22602156641281800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106306530.

It is not an unprimeable number, because it can be changed into a prime (106306531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17490 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (4421034).

Almost surely, 2106306530 is an apocalyptic number.

106306530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106306530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141473088).

106306530 is an abundant number, since it is smaller than the sum of its proper divisors (176639646).

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

106306530 is a wasteful number, since it uses less digits than its factorization.

106306530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106306530 is about 10310.5058071852. The cubic root of 106306530 is about 473.7181022469.

The spelling of 106306530 in words is "one hundred six million, three hundred six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1830 2013 3355 4026 5281 6710 10065 10562 15843 20130 26405 31686 52810 58091 79215 116182 158430 174273 290455 322141 348546 580910 644282 871365 966423 1610705 1742730 1932846 3221410 3543551 4832115 7087102 9664230 10630653 17717755 21261306 35435510 53153265 106306530