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198678096 = 2434831847
BaseRepresentation
bin10111101011110…
…01011001010000
3111211211220010000
423311321121100
5401330144341
631414210000
74631510301
oct1365713120
9454756100
10198678096
11a216a881
1256653900
1332213706
141c55a7a8
15126978b6
hexbd79650

198678096 has 100 divisors (see below), whose sum is σ = 582275232. Its totient is φ = 65392704.

The previous prime is 198678083. The next prime is 198678097. The reversal of 198678096 is 690876891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198678097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106645 + ... + 108491.

Almost surely, 2198678096 is an apocalyptic number.

198678096 is a gapful number since it is divisible by the number (16) 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 198678096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291137616).

198678096 is an abundant number, since it is smaller than the sum of its proper divisors (383597136).

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

198678096 is a wasteful number, since it uses less digits than its factorization.

198678096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 198678096 is about 14095.3217771004. The cubic root of 198678096 is about 583.5122749713.

The spelling of 198678096 in words is "one hundred ninety-eight million, six hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 664 747 996 1296 1328 1494 1847 1992 2241 2988 3694 3984 4482 5541 5976 6723 7388 8964 11082 11952 13446 14776 16623 17928 22164 26892 29552 33246 35856 44328 49869 53784 66492 88656 99738 107568 132984 149607 153301 199476 265968 299214 306602 398952 459903 598428 613204 797904 919806 1196856 1226408 1379709 1839612 2393712 2452816 2759418 3679224 4139127 5518836 7358448 8278254 11037672 12417381 16556508 22075344 24834762 33113016 49669524 66226032 99339048 198678096