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293295020 = 225197397109
BaseRepresentation
bin10001011110110…
…101001110101100
3202102212221010112
4101132311032230
51100040420040
645034155152
710160652344
oct2136651654
9672787115
10293295020
11140614987
1282282ab8
13489c0c65
142ad49d24
151ab37365
hex117b53ac

293295020 has 96 divisors (see below), whose sum is σ = 670084800. Its totient is φ = 107495424.

The previous prime is 293294987. The next prime is 293295029. The reversal of 293295020 is 20592392.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (293295029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2690726 + ... + 2690834.

It is an arithmetic number, because the mean of its divisors is an integer number (6980050).

Almost surely, 2293295020 is an apocalyptic number.

293295020 is a gapful number since it is divisible by the number (20) 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 293295020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335042400).

293295020 is an abundant number, since it is smaller than the sum of its proper divisors (376789780).

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

293295020 is a wasteful number, since it uses less digits than its factorization.

293295020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 293295020 is about 17125.8582266700. The cubic root of 293295020 is about 664.4080661715.

The spelling of 293295020 in words is "two hundred ninety-three million, two hundred ninety-five thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 97 109 146 190 194 218 292 365 380 388 436 485 545 730 970 1090 1387 1460 1843 1940 2071 2180 2774 3686 4142 5548 6935 7081 7372 7957 8284 9215 10355 10573 13870 14162 15914 18430 20710 21146 27740 28324 31828 35405 36860 39785 41420 42292 52865 70810 79570 105730 134539 141620 151183 159140 200887 211460 269078 302366 401774 538156 604732 672695 755915 771829 803548 1004435 1345390 1511830 1543658 2008870 2690780 3023660 3087316 3859145 4017740 7718290 14664751 15436580 29329502 58659004 73323755 146647510 293295020