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198478080 = 283355743
BaseRepresentation
bin10111101010010…
…00100100000000
3111211110201202000
423311020210000
5401302244310
631410024000
74630015203
oct1365104400
9454421660
10198478080
11a2043579
1256578000
1332173668
141c50793a
15126584c0
hexbd48900

198478080 has 144 divisors (see below), whose sum is σ = 704444160. Its totient is φ = 52918272.

The previous prime is 198478073. The next prime is 198478081. The reversal of 198478080 is 80874891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (198478081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31689 + ... + 37431.

Almost surely, 2198478080 is an apocalyptic number.

198478080 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 198478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352222080).

198478080 is an abundant number, since it is smaller than the sum of its proper divisors (505966080).

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

198478080 is an equidigital number, since it uses as much as digits as its factorization.

198478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 198478080 is about 14088.2248704370. The cubic root of 198478080 is about 583.3163953358.

The spelling of 198478080 in words is "one hundred ninety-eight million, four hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5743 5760 6912 8640 11486 11520 17229 17280 22972 28715 34458 34560 45944 51687 57430 68916 86145 91888 103374 114860 137832 155061 172290 183776 206748 229720 258435 275664 310122 344580 367552 413496 459440 516870 551328 620244 689160 735104 775305 826992 918880 1033740 1102656 1240488 1378320 1470208 1550610 1653984 1837760 2067480 2205312 2480976 2756640 3101220 3307968 3675520 4134960 4410624 4961952 5513280 6202440 6615936 7351040 8269920 9923904 11026560 12404880 13231872 16539840 19847808 22053120 24809760 33079680 39695616 49619520 66159360 99239040 198478080