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198988480 = 2651135503
BaseRepresentation
bin10111101110001…
…01001011000000
3111212102122212201
423313011023000
5401420112410
631425002544
74634242225
oct1367051300
9455378781
10198988480
11a2361a99
1256783454
13322c1a82
141c5db94c
151270983a
hexbdc52c0

198988480 has 56 divisors (see below), whose sum is σ = 478121472. Its totient is φ = 78876672.

The previous prime is 198988453. The next prime is 198988487. The reversal of 198988480 is 84889891.

It is not an unprimeable number, because it can be changed into a prime (198988487) 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 7 ways as a sum of consecutive naturals, for example, 33409 + ... + 38911.

Almost surely, 2198988480 is an apocalyptic number.

198988480 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 198988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239060736).

198988480 is an abundant number, since it is smaller than the sum of its proper divisors (279132992).

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

198988480 is a wasteful number, since it uses less digits than its factorization.

198988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 55.

The square root of 198988480 is about 14106.3276581823. The cubic root of 198988480 is about 583.8159800518.

The spelling of 198988480 in words is "one hundred ninety-eight million, nine hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 5503 7232 9040 11006 18080 22012 27515 36160 44024 55030 88048 110060 176096 220120 352192 440240 621839 880480 1243678 1760960 2487356 3109195 4974712 6218390 9949424 12436780 19898848 24873560 39797696 49747120 99494240 198988480