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120783793 = 1321722473
BaseRepresentation
bin1110011001100…
…00001110110001
322102021110012211
413030300032301
5221410040133
615552452121
72664434224
oct714601661
9272243184
10120783793
11621a7719
123454a041
131c03c900
14120815bb
15a90cbcd
hex73303b1

120783793 has 18 divisors (see below), whose sum is σ = 138991794. Its totient is φ = 104891904.

The previous prime is 120783739. The next prime is 120783809. The reversal of 120783793 is 397387021.

It can be written as a sum of positive squares in 9 ways, for example, as 14961424 + 105822369 = 3868^2 + 10287^2 .

It is not a de Polignac number, because 120783793 - 221 = 118686641 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120786793) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 47605 + ... + 50077.

Almost surely, 2120783793 is an apocalyptic number.

120783793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120783793 is a deficient number, since it is larger than the sum of its proper divisors (18208001).

120783793 is a wasteful number, since it uses less digits than its factorization.

120783793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 120783793 is about 10990.1680150942. The cubic root of 120783793 is about 494.3139739956.

It can be divided in two parts, 12078 and 3793, that multiplied together give a palindrome (45811854).

The spelling of 120783793 in words is "one hundred twenty million, seven hundred eighty-three thousand, seven hundred ninety-three".

Divisors: 1 13 17 169 221 289 2473 2873 3757 32149 42041 48841 417937 546533 714697 7104929 9291061 120783793