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120234420 = 223251315099
BaseRepresentation
bin1110010101010…
…10000110110100
322101020112121200
413022222012310
5221240000140
615533012500
72656655445
oct712520664
9271215550
10120234420
1161961999
1234324130
131bba9837
1411d7b2cc
15a850030
hex72aa1b4

120234420 has 72 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 31811520.

The previous prime is 120234403. The next prime is 120234437. The reversal of 120234420 is 24432021.

120234420 is a `hidden beast` number, since 12 + 0 + 234 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (120234403) and next prime (120234437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120234393 and 120234402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21031 + ... + 26129.

It is an arithmetic number, because the mean of its divisors is an integer number (5105100).

Almost surely, 2120234420 is an apocalyptic number.

120234420 is a gapful number since it is divisible by the number (10) 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 120234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

120234420 is an abundant number, since it is smaller than the sum of its proper divisors (247332780).

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

120234420 is a wasteful number, since it uses less digits than its factorization.

120234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120234420 is about 10965.1456898666. The cubic root of 120234420 is about 493.5633889682.

Adding to 120234420 its reverse (24432021), we get a palindrome (144666441).

The spelling of 120234420 in words is "one hundred twenty million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5099 5895 7860 10198 11790 15297 20396 23580 25495 30594 45891 50990 61188 76485 91782 101980 152970 183564 229455 305940 458910 667969 917820 1335938 2003907 2671876 3339845 4007814 6011721 6679690 8015628 10019535 12023442 13359380 20039070 24046884 30058605 40078140 60117210 120234420