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120507006 = 23192936451
BaseRepresentation
bin1110010111011…
…00101001111110
322101202101112110
413023230221332
5221322211011
615542514450
72662202244
oct713545176
9271671473
10120507006
1162028774
1234435a26
131bc73929
141200c794
15a8a5ba6
hex72eca7e

120507006 has 32 divisors (see below), whose sum is σ = 262454400. Its totient is φ = 36741600.

The previous prime is 120506993. The next prime is 120507011. The reversal of 120507006 is 600705021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14920 + ... + 21531.

It is an arithmetic number, because the mean of its divisors is an integer number (8201700).

Almost surely, 2120507006 is an apocalyptic number.

120507006 is an abundant number, since it is smaller than the sum of its proper divisors (141947394).

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

120507006 is a wasteful number, since it uses less digits than its factorization.

120507006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36504.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120507006 is about 10977.5683099674. The cubic root of 120507006 is about 493.9360967895.

The spelling of 120507006 in words is "one hundred twenty million, five hundred seven thousand, six".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 551 1102 1653 3306 36451 72902 109353 218706 692569 1057079 1385138 2077707 2114158 3171237 4155414 6342474 20084501 40169002 60253503 120507006