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197790240 = 25351724239
BaseRepresentation
bin10111100101000…
…00101000100000
3111210011210012110
423302200220200
5401113241430
631343155320
74621121634
oct1362405040
9453153173
10197790240
11a171380a
12562a5b40
1331c9255b
141c3a8dc4
151256e7b0
hexbca0a20

197790240 has 96 divisors (see below), whose sum is σ = 659715840. Its totient is φ = 49639424.

The previous prime is 197790233. The next prime is 197790253. The reversal of 197790240 is 42097791.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3960 + ... + 20279.

It is an arithmetic number, because the mean of its divisors is an integer number (6872040).

Almost surely, 2197790240 is an apocalyptic number.

197790240 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 197790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329857920).

197790240 is an abundant number, since it is smaller than the sum of its proper divisors (461925600).

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

197790240 is a wasteful number, since it uses less digits than its factorization.

197790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24274 (or 24266 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 197790240 is about 14063.7918073328. The cubic root of 197790240 is about 582.6417738378.

The spelling of 197790240 in words is "one hundred ninety-seven million, seven hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 24239 48478 72717 96956 121195 145434 193912 242390 290868 363585 387824 412063 484780 581736 727170 775648 824126 969560 1163472 1236189 1454340 1648252 1939120 2060315 2326944 2472378 2908680 3296504 3878240 4120630 4944756 5817360 6180945 6593008 8241260 9889512 11634720 12361890 13186016 16482520 19779024 24723780 32965040 39558048 49447560 65930080 98895120 197790240