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120884106 = 23737107727
BaseRepresentation
bin1110011010010…
…00101110001010
322102110112211010
413031020232022
5221421242411
615554544350
72665332540
oct715105612
9272415733
10120884106
1162266022
12345980b6
131c076475
14120a9d90
15a92c7a6
hex7348b8a

120884106 has 64 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 33244992.

The previous prime is 120884087. The next prime is 120884117. The reversal of 120884106 is 601488021.

It is a super-2 number, since 2×1208841062 = 29225934166838472, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 165915 + ... + 166641.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2120884106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120884106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

120884106 is an abundant number, since it is smaller than the sum of its proper divisors (165936246).

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

120884106 is a wasteful number, since it uses less digits than its factorization.

120884106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120884106 is about 10994.7308289016. The cubic root of 120884106 is about 494.4507815242.

The spelling of 120884106 in words is "one hundred twenty million, eight hundred eighty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 74 107 111 214 222 259 321 518 642 727 749 777 1454 1498 1554 2181 2247 3959 4362 4494 5089 7918 10178 11877 15267 23754 26899 27713 30534 53798 55426 77789 80697 83139 155578 161394 166278 188293 233367 376586 466734 544523 564879 1089046 1129758 1633569 2878193 3267138 5756386 8634579 17269158 20147351 40294702 60442053 120884106