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120434420 = 22510159621
BaseRepresentation
bin1110010110110…
…10111011110100
322101121200222002
413023122323310
5221312400140
615541154432
72661450521
oct713327364
9271550862
10120434420
1161a89187
12343bba18
131bc49892
1411dd0148
15a88e415
hex72daef4

120434420 has 24 divisors (see below), whose sum is σ = 255420648. Its totient is φ = 47696000.

The previous prime is 120434401. The next prime is 120434449. The reversal of 120434420 is 24434021.

It can be written as a sum of positive squares in 4 ways, for example, as 62125924 + 58308496 = 7882^2 + 7636^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120434392 and 120434401.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27791 + ... + 31830.

It is an arithmetic number, because the mean of its divisors is an integer number (10642527).

Almost surely, 2120434420 is an apocalyptic number.

120434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120434420 is an abundant number, since it is smaller than the sum of its proper divisors (134986228).

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

120434420 is a wasteful number, since it uses less digits than its factorization.

120434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59731 (or 59729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 120434420 is about 10974.2617063746. The cubic root of 120434420 is about 493.8369046411.

Adding to 120434420 its reverse (24434021), we get a palindrome (144868441).

The spelling of 120434420 in words is "one hundred twenty million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 59621 119242 238484 298105 596210 1192420 6021721 12043442 24086884 30108605 60217210 120434420