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293056120 = 23579371117
BaseRepresentation
bin10001011101111…
…010111001111000
3202102102210102101
4101131322321320
51100010243440
645025113144
710155636010
oct2135727170
9672383371
10293056120
11140471445
12821887b4
13489392b6
142acc6c40
151aadb69a
hex1177ae78

293056120 has 64 divisors (see below), whose sum is σ = 755052480. Its totient is φ = 100279296.

The previous prime is 293056117. The next prime is 293056129. The reversal of 293056120 is 21650392.

293056120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293056129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261802 + ... + 262918.

It is an arithmetic number, because the mean of its divisors is an integer number (11797695).

Almost surely, 2293056120 is an apocalyptic number.

293056120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293056120 is an abundant number, since it is smaller than the sum of its proper divisors (461996360).

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

293056120 is a wasteful number, since it uses less digits than its factorization.

293056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 293056120 is about 17118.8819728392. The cubic root of 293056120 is about 664.2276219178.

The spelling of 293056120 in words is "two hundred ninety-three million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 937 1117 1874 2234 3748 4468 4685 5585 6559 7496 7819 8936 9370 11170 13118 15638 18740 22340 26236 31276 32795 37480 39095 44680 52472 62552 65590 78190 131180 156380 262360 312760 1046629 2093258 4186516 5233145 7326403 8373032 10466290 14652806 20932580 29305612 36632015 41865160 58611224 73264030 146528060 293056120