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120434020 = 22575316231
BaseRepresentation
bin1110010110110…
…10110101100100
322101121200102021
413023122311210
5221312342040
615541152524
72661446410
oct713326544
9271550367
10120434020
1161a88953
12343bb744
131bc49645
1411dcdd40
15a88e24a
hex72dad64

120434020 has 48 divisors (see below), whose sum is σ = 294513408. Its totient is φ = 40510080.

The previous prime is 120434009. The next prime is 120434021. The reversal of 120434020 is 20434021.

It is a junction number, because it is equal to n+sod(n) for n = 120433985 and 120434003.

It is not an unprimeable number, because it can be changed into a prime (120434021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696 + ... + 15535.

It is an arithmetic number, because the mean of its divisors is an integer number (6135696).

Almost surely, 2120434020 is an apocalyptic number.

120434020 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 120434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147256704).

120434020 is an abundant number, since it is smaller than the sum of its proper divisors (174079388).

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

120434020 is a wasteful number, since it uses less digits than its factorization.

120434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16300 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 120434020 is about 10974.2434818989. The cubic root of 120434020 is about 493.8363579121.

Adding to 120434020 its reverse (20434021), we get a palindrome (140868041).

Subtracting from 120434020 its reverse (20434021), we obtain a palindrome (99999999).

The spelling of 120434020 in words is "one hundred twenty million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 16231 32462 64924 81155 113617 162310 227234 324620 454468 568085 860243 1136170 1720486 2272340 3440972 4301215 6021701 8602430 12043402 17204860 24086804 30108505 60217010 120434020