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120434430 = 23514832707
BaseRepresentation
bin1110010110110…
…10111011111110
322101121200222110
413023122323332
5221312400210
615541154450
72661450534
oct713327376
9271550873
10120434430
1161a89196
12343bba26
131bc4989c
1411dd0154
15a88e420
hex72daefe

120434430 has 32 divisors (see below), whose sum is σ = 289344384. Its totient is φ = 32082336.

The previous prime is 120434401. The next prime is 120434449. The reversal of 120434430 is 34434021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120434397 and 120434406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43137 + ... + 45843.

It is an arithmetic number, because the mean of its divisors is an integer number (9042012).

Almost surely, 2120434430 is an apocalyptic number.

120434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120434430 is an abundant number, since it is smaller than the sum of its proper divisors (168909954).

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

120434430 is a wasteful number, since it uses less digits than its factorization.

120434430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 120434430 is about 10974.2621619861. The cubic root of 120434430 is about 493.8369183093.

Adding to 120434430 its reverse (34434021), we get a palindrome (154868451).

The spelling of 120434430 in words is "one hundred twenty million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1483 2707 2966 4449 5414 7415 8121 8898 13535 14830 16242 22245 27070 40605 44490 81210 4014481 8028962 12043443 20072405 24086886 40144810 60217215 120434430