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198678480 = 243571113827
BaseRepresentation
bin10111101011110…
…01011111010000
3111211211220122020
423311321133100
5401330202410
631414211440
74631511360
oct1365713720
9454756566
10198678480
11a21700a0
1256653b80
1332213940
141c55a9a0
1512697a70
hexbd797d0

198678480 has 320 divisors, whose sum is σ = 827947008. Its totient is φ = 38062080.

The previous prime is 198678457. The next prime is 198678559. The reversal of 198678480 is 84876891.

It is a super-2 number, since 2×1986784802 = 78946276830220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239827 + ... + 240653.

Almost surely, 2198678480 is an apocalyptic number.

198678480 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 198678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413973504).

198678480 is an abundant number, since it is smaller than the sum of its proper divisors (629268528).

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

198678480 is a wasteful number, since it uses less digits than its factorization.

198678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 198678480 is about 14095.3353986345. The cubic root of 198678480 is about 583.5126509036.

The spelling of 198678480 in words is "one hundred ninety-eight million, six hundred seventy-eight thousand, four hundred eighty".