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120210006 = 237231071163
BaseRepresentation
bin1110010101001…
…00001001010110
322101012022010110
413022210021112
5221233210011
615532303450
72656524330
oct712441126
9271168113
10120210006
1161945614
1234311b86
131bb9b6a7
1411d72450
15a847ba6
hex72a4256

120210006 has 64 divisors (see below), whose sum is σ = 289640448. Its totient is φ = 32517408.

The previous prime is 120210001. The next prime is 120210007. The reversal of 120210006 is 600012021.

It is a junction number, because it is equal to n+sod(n) for n = 120209973 and 120210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210001) 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, 102781 + ... + 103943.

It is an arithmetic number, because the mean of its divisors is an integer number (4525632).

Almost surely, 2120210006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144820224).

120210006 is an abundant number, since it is smaller than the sum of its proper divisors (169430442).

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

120210006 is a wasteful number, since it uses less digits than its factorization.

120210006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120210006 is about 10964.0323786461. The cubic root of 120210006 is about 493.5299801428.

Adding to 120210006 its reverse (600012021), we get a palindrome (720222027).

The spelling of 120210006 in words is "one hundred twenty million, two hundred ten thousand, six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 107 138 161 214 321 322 483 642 749 966 1163 1498 2247 2326 2461 3489 4494 4922 6978 7383 8141 14766 16282 17227 24423 26749 34454 48846 51681 53498 80247 103362 124441 160494 187243 248882 373323 374486 561729 746646 871087 1123458 1742174 2613261 2862143 5226522 5724286 8586429 17172858 20035001 40070002 60105003 120210006