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20403120 = 2435151563
BaseRepresentation
bin100110111010…
…1001110110000
31102101120211010
41031311032300
520210344440
62005150520
7335265213
oct115651660
942346733
1020403120
1110576191
1269bb440
1342c4a6a
1429d177a
151bd0580
hex13753b0

20403120 has 80 divisors (see below), whose sum is σ = 63781632. Its totient is φ = 5395200.

The previous prime is 20403083. The next prime is 20403121. The reversal of 20403120 is 2130402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20403096 and 20403105.

It is not an unprimeable number, because it can be changed into a prime (20403121) 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 15 ways as a sum of consecutive naturals, for example, 35959 + ... + 36521.

Almost surely, 220403120 is an apocalyptic number.

20403120 is a gapful number since it is divisible by the number (20) 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 20403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31890816).

20403120 is an abundant number, since it is smaller than the sum of its proper divisors (43378512).

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

20403120 is a wasteful number, since it uses less digits than its factorization.

20403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20403120 is about 4516.9812928548. The cubic root of 20403120 is about 273.2533707532.

Adding to 20403120 its reverse (2130402), we get a palindrome (22533522).

The spelling of 20403120 in words is "twenty million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 563 604 755 906 1126 1208 1510 1689 1812 2252 2265 2416 2815 3020 3378 3624 4504 4530 5630 6040 6756 7248 8445 9008 9060 11260 12080 13512 16890 18120 22520 27024 33780 36240 45040 67560 85013 135120 170026 255039 340052 425065 510078 680104 850130 1020156 1275195 1360208 1700260 2040312 2550390 3400520 4080624 5100780 6801040 10201560 20403120