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197554140 = 2235575807
BaseRepresentation
bin10111100011001…
…10111111011100
3111202201210100000
423301212333130
5401033213030
631334134300
74616116410
oct1361467734
9452653300
10197554140
11a1572393
12561b1390
1331c0bc54
141c346d40
1512524860
hexbc66fdc

197554140 has 144 divisors (see below), whose sum is σ = 710341632. Its totient is φ = 45147456.

The previous prime is 197554121. The next prime is 197554141. The reversal of 197554140 is 41455791.

197554140 is a `hidden beast` number, since 1 + 9 + 75 + 541 + 40 = 666.

It is a super-2 number, since 2×1975541402 = 78055276462279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197554095 and 197554104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197554141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31117 + ... + 36923.

It is an arithmetic number, because the mean of its divisors is an integer number (4932928).

Almost surely, 2197554140 is an apocalyptic number.

197554140 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 197554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355170816).

197554140 is an abundant number, since it is smaller than the sum of its proper divisors (512787492).

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

197554140 is a wasteful number, since it uses less digits than its factorization.

197554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 197554140 is about 14055.3954053239. The cubic root of 197554140 is about 582.4098505396.

The spelling of 197554140 in words is "one hundred ninety-seven million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 5807 6804 8505 11340 11614 17010 17421 23228 29035 34020 34842 40649 52263 58070 69684 81298 87105 104526 116140 121947 156789 162596 174210 203245 209052 243894 261315 313578 348420 365841 406490 470367 487788 522630 609735 627156 731682 783945 812980 940734 1045260 1097523 1219470 1411101 1463364 1567890 1829205 1881468 2195046 2351835 2438940 2822202 3135780 3292569 3658410 4390092 4703670 5487615 5644404 6585138 7055505 7316820 9407340 9877707 10975230 13170276 14111010 16462845 19755414 21950460 28222020 32925690 39510828 49388535 65851380 98777070 197554140