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120681468 = 22331398039
BaseRepresentation
bin1110011000101…
…11001111111100
322102002020212000
413030113033330
5221343301333
615550342300
72663530005
oct714271774
9272066760
10120681468
1162137856
12344ba990
131c00516b
14120561ac
15a8dc713
hex73173fc

120681468 has 48 divisors (see below), whose sum is σ = 315168000. Its totient is φ = 39932784.

The previous prime is 120681467. The next prime is 120681479. The reversal of 120681468 is 864186021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120681467) by changing a digit.

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, 10993 + ... + 19031.

It is an arithmetic number, because the mean of its divisors is an integer number (6566000).

Almost surely, 2120681468 is an apocalyptic number.

120681468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120681468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157584000).

120681468 is an abundant number, since it is smaller than the sum of its proper divisors (194486532).

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

120681468 is a wasteful number, since it uses less digits than its factorization.

120681468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120681468 is about 10985.5117313669. The cubic root of 120681468 is about 494.1743444244.

The spelling of 120681468 in words is "one hundred twenty million, six hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 8039 15012 16078 24117 32156 48234 72351 96468 144702 217053 289404 434106 868212 1117421 2234842 3352263 4469684 6704526 10056789 13409052 20113578 30170367 40227156 60340734 120681468