Search a number
-
+
293197128 = 233712231427
BaseRepresentation
bin10001011110011…
…101010101001000
3202102200221211220
4101132131111020
51100024302003
645032122040
710160064060
oct2136352510
9672627756
10293197128
11140558384
1282236320
1348988533
142ad223a0
151ab18353
hex1179d548

293197128 has 64 divisors (see below), whose sum is σ = 838978560. Its totient is φ = 83643456.

The previous prime is 293197117. The next prime is 293197133. The reversal of 293197128 is 821791392.

It is a Cunningham number, because it is equal to 171232-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 293197128.

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, 204751 + ... + 206177.

It is an arithmetic number, because the mean of its divisors is an integer number (13109040).

Almost surely, 2293197128 is an apocalyptic number.

293197128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

293197128 is an abundant number, since it is smaller than the sum of its proper divisors (545781432).

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

293197128 is a wasteful number, since it uses less digits than its factorization.

293197128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2662 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 293197128 is about 17122.9999707995. Note that the first 4 decimals coincide. The cubic root of 293197128 is about 664.3341389339.

The spelling of 293197128 in words is "two hundred ninety-three million, one hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1223 1427 2446 2854 3669 4281 4892 5708 7338 8561 8562 9784 9989 11416 14676 17122 17124 19978 25683 29352 29967 34244 34248 39956 51366 59934 68488 79912 102732 119868 205464 239736 1745221 3490442 5235663 6980884 10471326 12216547 13961768 20942652 24433094 36649641 41885304 48866188 73299282 97732376 146598564 293197128