Search a number
-
+
120842154 = 232173112739
BaseRepresentation
bin1110011001111…
…10011110101010
322102101102021100
413030332132222
5221413422104
615554022230
72665066326
oct714763652
9272342240
10120842154
1162237554
1234577976
131c060344
1412098986
15a920139
hex733e7aa

120842154 has 48 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 36685440.

The previous prime is 120842149. The next prime is 120842177. The reversal of 120842154 is 451248021.

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 23 ways as a sum of consecutive naturals, for example, 3117 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2120842154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120842154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

120842154 is an abundant number, since it is smaller than the sum of its proper divisors (165349206).

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

120842154 is a wasteful number, since it uses less digits than its factorization.

120842154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12795 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 120842154 is about 10992.8228403809. The cubic root of 120842154 is about 494.3935763218.

The spelling of 120842154 in words is "one hundred twenty million, eight hundred forty-two thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4743 9486 12739 25478 38217 76434 114651 216563 229302 394909 433126 649689 789818 1184727 1299378 1949067 2369454 3554181 3898134 6713453 7108362 13426906 20140359 40280718 60421077 120842154