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197895040 = 2757163271
BaseRepresentation
bin10111100101110…
…10001110000000
3111210101002221221
423302322032000
5401130120130
631345324424
74622036320
oct1362721600
9453332857
10197895040
11a1785522
1256336714
1331ccb175
141c3d5280
151259087a
hexbcba380

197895040 has 128 divisors (see below), whose sum is σ = 546001920. Its totient is φ = 67184640.

The previous prime is 197895031. The next prime is 197895053. The reversal of 197895040 is 40598791.

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

It is a congruent number.

It is an unprimeable number.

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, 730105 + ... + 730375.

It is an arithmetic number, because the mean of its divisors is an integer number (4265640).

Almost surely, 2197895040 is an apocalyptic number.

197895040 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 197895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273000960).

197895040 is an abundant number, since it is smaller than the sum of its proper divisors (348106880).

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

197895040 is a wasteful number, since it uses less digits than its factorization.

197895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 197895040 is about 14067.5171938761. The cubic root of 197895040 is about 582.7446607423.

The spelling of 197895040 in words is "one hundred ninety-seven million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 163 224 271 280 320 326 448 542 560 640 652 815 896 1084 1120 1141 1304 1355 1630 1897 2168 2240 2282 2608 2710 3260 3794 4336 4480 4564 5216 5420 5705 6520 7588 8672 9128 9485 10432 10840 11410 13040 15176 17344 18256 18970 20864 21680 22820 26080 30352 34688 36512 37940 43360 44173 45640 52160 60704 73024 75880 86720 88346 91280 104320 121408 146048 151760 173440 176692 182560 220865 242816 303520 309211 353384 365120 441730 607040 618422 706768 730240 883460 1214080 1236844 1413536 1546055 1766920 2473688 2827072 3092110 3533840 4947376 5654144 6184220 7067680 9894752 12368440 14135360 19789504 24736880 28270720 39579008 49473760 98947520 197895040