Base | Representation |
---|---|
bin | 1110010111001… |
… | …00100110010000 |
3 | 22101200201021000 |
4 | 13023210212100 |
5 | 221320132000 |
6 | 15542102000 |
7 | 2662004103 |
oct | 713444620 |
9 | 271621230 |
10 | 120474000 |
11 | 62005999 |
12 | 3441a900 |
13 | 1bc618ba |
14 | 1200073a |
15 | a89b000 |
hex | 72e4990 |
120474000 has 320 divisors, whose sum is σ = 454970880. Its totient is φ = 30412800.
The previous prime is 120473999. The next prime is 120474001. The reversal of 120474000 is 474021.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (120473999) and next prime (120474001).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (120474001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241952 + ... + 1242048.
It is an arithmetic number, because the mean of its divisors is an integer number (1421784).
Almost surely, 2120474000 is an apocalyptic number.
120474000 is a gapful number since it is divisible by the number (10) 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 120474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).
120474000 is an abundant number, since it is smaller than the sum of its proper divisors (334496880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120474000 is a wasteful number, since it uses less digits than its factorization.
120474000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 120474000 is about 10976.0648686130. The cubic root of 120474000 is about 493.8909974933.
The spelling of 120474000 in words is "one hundred twenty million, four hundred seventy-four thousand".
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