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120264006 = 2368329347
BaseRepresentation
bin1110010101100…
…01010101000110
322101022001012110
413022301111012
5221241422011
615533401450
72660140632
oct712612506
9271261173
10120264006
1161982145
1234339286
131bbba145
1411d87dc2
15a858ba6
hex72b1546

120264006 has 16 divisors (see below), whose sum is σ = 240888384. Its totient is φ = 40027944.

The previous prime is 120263999. The next prime is 120264013. The reversal of 120264006 is 600462021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120263999) and next prime (120264013).

It is a super-2 number, since 2×1202640062 = 28926862278336072, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10576 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (15055524).

Almost surely, 2120264006 is an apocalyptic number.

120264006 is an abundant number, since it is smaller than the sum of its proper divisors (120624378).

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

120264006 is a wasteful number, since it uses less digits than its factorization.

120264006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30035.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 120264006 is about 10966.4946997662. The cubic root of 120264006 is about 493.6038692479.

The spelling of 120264006 in words is "one hundred twenty million, two hundred sixty-four thousand, six".

Divisors: 1 2 3 6 683 1366 2049 4098 29347 58694 88041 176082 20044001 40088002 60132003 120264006