Search a number
-
+
197143040 = 295531453
BaseRepresentation
bin10111100000000…
…10101000000000
3111201221220102002
423300002220000
5400432034130
631321243132
74612455023
oct1360025000
9451856362
10197143040
11a1311536
12560334a8
1331ac6ab3
141c27b1ba
1512492b45
hexbc02a00

197143040 has 80 divisors (see below), whose sum is σ = 481931208. Its totient is φ = 77316096.

The previous prime is 197143039. The next prime is 197143081. The reversal of 197143040 is 40341791.

It can be written as a sum of positive squares in 4 ways, for example, as 196897024 + 246016 = 14032^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 197142994 and 197143012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134954 + ... + 136406.

Almost surely, 2197143040 is an apocalyptic number.

197143040 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 197143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240965604).

197143040 is an abundant number, since it is smaller than the sum of its proper divisors (284788168).

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

197143040 is an equidigital number, since it uses as much as digits as its factorization.

197143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 197143040 is about 14040.7635120032. The cubic root of 197143040 is about 582.0055816787.

The spelling of 197143040 in words is "one hundred ninety-seven million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 1060 1280 1453 1696 2120 2560 2906 3392 4240 5812 6784 7265 8480 11624 13568 14530 16960 23248 27136 29060 33920 46496 58120 67840 77009 92992 116240 135680 154018 185984 232480 308036 371968 385045 464960 616072 743936 770090 929920 1232144 1540180 1859840 2464288 3080360 3719680 4928576 6160720 9857152 12321440 19714304 24642880 39428608 49285760 98571520 197143040