Search a number
-
+
198423680 = 2757133407
BaseRepresentation
bin10111101001110…
…11010010000000
3111211100222010012
423310323102000
5401244024210
631404524052
74626400460
oct1364732200
9454328105
10198423680
11a2006714
1256550628
1332154980
141c4d1ba0
1512647305
hexbd3b480

198423680 has 128 divisors (see below), whose sum is σ = 583994880. Its totient is φ = 62779392.

The previous prime is 198423671. The next prime is 198423683. The reversal of 198423680 is 86324891.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (198423683) 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 15 ways as a sum of consecutive naturals, for example, 56537 + ... + 59943.

It is an arithmetic number, because the mean of its divisors is an integer number (4562460).

Almost surely, 2198423680 is an apocalyptic number.

198423680 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 198423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291997440).

198423680 is an abundant number, since it is smaller than the sum of its proper divisors (385571200).

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

198423680 is a wasteful number, since it uses less digits than its factorization.

198423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 198423680 is about 14086.2940477615. The cubic root of 198423680 is about 583.2630975754.

The spelling of 198423680 in words is "one hundred ninety-eight million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3407 3640 4160 4480 5824 6814 7280 8320 11648 13628 14560 17035 23849 27256 29120 34070 44291 47698 54512 58240 68140 88582 95396 109024 119245 136280 177164 190792 218048 221455 238490 272560 310037 354328 381584 436096 442910 476980 545120 620074 708656 763168 885820 953960 1090240 1240148 1417312 1526336 1550185 1771640 1907920 2180480 2480296 2834624 3052672 3100370 3543280 3815840 4960592 5669248 6200740 7086560 7631680 9921184 12401480 14173120 15263360 19842368 24802960 28346240 39684736 49605920 99211840 198423680