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455239680 = 2113572973
BaseRepresentation
bin11011001000100…
…110100000000000
31011201121120102220
4123020212200000
51413020132210
6113101211040
714165321250
oct3310464000
91151546386
10455239680
11213a75345
12108560a80
13734128bc
1444663960
1529e75c70
hex1b226800

455239680 has 384 divisors, whose sum is σ = 1745452800. Its totient is φ = 99090432.

The previous prime is 455239669. The next prime is 455239691. The reversal of 455239680 is 86932554.

It is an interprime number because it is at equal distance from previous prime (455239669) and next prime (455239691).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6236124 + ... + 6236196.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2455239680 is an apocalyptic number.

455239680 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 455239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872726400).

455239680 is an abundant number, since it is smaller than the sum of its proper divisors (1290213120).

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

455239680 is a wasteful number, since it uses less digits than its factorization.

455239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 455239680 is about 21336.3464538801. The cubic root of 455239680 is about 769.2721969893.

The spelling of 455239680 in words is "four hundred fifty-five million, two hundred thirty-nine thousand, six hundred eighty".