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120231450 = 23252397673
BaseRepresentation
bin1110010101010…
…01011000011010
322101020101112200
413022221120122
5221234401300
615532551030
72656644003
oct712513032
9271211480
10120231450
116195a739
1234322476
131bba8391
1411d7a1aa
15a84e200
hex72a961a

120231450 has 72 divisors (see below), whose sum is σ = 324316668. Its totient is φ = 31933440.

The previous prime is 120231437. The next prime is 120231451. The reversal of 120231450 is 54132021.

It can be written as a sum of positive squares in 6 ways, for example, as 43125489 + 77105961 = 6567^2 + 8781^2 .

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 (120231451) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 178314 + ... + 178986.

Almost surely, 2120231450 is an apocalyptic number.

120231450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120231450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162158334).

120231450 is an abundant number, since it is smaller than the sum of its proper divisors (204085218).

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

120231450 is a wasteful number, since it uses less digits than its factorization.

120231450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120231450 is about 10965.0102599131. The cubic root of 120231450 is about 493.5593249758.

Adding to 120231450 its reverse (54132021), we get a palindrome (174363471).

The spelling of 120231450 in words is "one hundred twenty million, two hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 397 450 673 794 1191 1346 1985 2019 2382 3365 3573 3970 4038 5955 6057 6730 7146 9925 10095 11910 12114 16825 17865 19850 20190 29775 30285 33650 35730 50475 59550 60570 89325 100950 151425 178650 267181 302850 534362 801543 1335905 1603086 2404629 2671810 4007715 4809258 6679525 8015430 12023145 13359050 20038575 24046290 40077150 60115725 120231450