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454120080 = 24351892167
BaseRepresentation
bin11011000100010…
…101001010010000
31011122111200122020
4123010111022100
51412223320310
6113021211440
714152646151
oct3304251220
91148450566
10454120080
11213380157
12108100b80
137311010b
1444451928
1529d04170
hex1b115290

454120080 has 40 divisors (see below), whose sum is σ = 1407772992. Its totient is φ = 121098624.

The previous prime is 454120067. The next prime is 454120081. The reversal of 454120080 is 80021454.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 454120080.

It is not an unprimeable number, because it can be changed into a prime (454120081) 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 7 ways as a sum of consecutive naturals, for example, 945844 + ... + 946323.

Almost surely, 2454120080 is an apocalyptic number.

454120080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454120080 is an abundant number, since it is smaller than the sum of its proper divisors (953652912).

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

454120080 is a wasteful number, since it uses less digits than its factorization.

454120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892183 (or 1892177 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 454120080 is about 21310.0933831835. The cubic root of 454120080 is about 768.6410392201.

The spelling of 454120080 in words is "four hundred fifty-four million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1892167 3784334 5676501 7568668 9460835 11353002 15137336 18921670 22706004 28382505 30274672 37843340 45412008 56765010 75686680 90824016 113530020 151373360 227060040 454120080