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454054120 = 235136611321
BaseRepresentation
bin11011000100000…
…101000011101000
31011122101100011021
4123010011003220
51412214212440
6113015542224
714152252642
oct3304050350
91148340137
10454054120
11213335643
1210808a974
13730b90a0
1444435892
1529cde84a
hex1b1050e8

454054120 has 64 divisors (see below), whose sum is σ = 1102706640. Its totient is φ = 167270400.

The previous prime is 454054103. The next prime is 454054123. The reversal of 454054120 is 21450454.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 292204836 + 161849284 = 17094^2 + 12722^2 .

It is not an unprimeable number, because it can be changed into a prime (454054123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343060 + ... + 344380.

Almost surely, 2454054120 is an apocalyptic number.

454054120 is a gapful number since it is divisible by the number (40) 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 454054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551353320).

454054120 is an abundant number, since it is smaller than the sum of its proper divisors (648652520).

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

454054120 is a wasteful number, since it uses less digits than its factorization.

454054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 454054120 is about 21308.5457035434. The cubic root of 454054120 is about 768.6038229125.

The spelling of 454054120 in words is "four hundred fifty-four million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 661 1321 1322 2642 2644 3305 5284 5288 6605 6610 8593 10568 13210 13220 17173 17186 26420 26440 34346 34372 42965 52840 68692 68744 85865 85930 137384 171730 171860 343460 343720 686920 873181 1746362 3492724 4365905 6985448 8731810 11351353 17463620 22702706 34927240 45405412 56756765 90810824 113513530 227027060 454054120