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20296120 = 23513231697
BaseRepresentation
bin100110101101…
…1000110111000
31102012011001011
41031123012320
520143433440
62003003304
7334341235
oct115330670
942164034
1020296120
1110502859
126969534
134288150
1429a478c
151bad9ea
hex135b1b8

20296120 has 64 divisors (see below), whose sum is σ = 51347520. Its totient is φ = 7163904.

The previous prime is 20296099. The next prime is 20296121. The reversal of 20296120 is 2169202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20296091 and 20296100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20296121) 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, 11112 + ... + 12808.

It is an arithmetic number, because the mean of its divisors is an integer number (802305).

Almost surely, 220296120 is an apocalyptic number.

20296120 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 20296120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25673760).

20296120 is an abundant number, since it is smaller than the sum of its proper divisors (31051400).

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

20296120 is a wasteful number, since it uses less digits than its factorization.

20296120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 20296120 is about 4505.1215299923. The cubic root of 20296120 is about 272.7748594405.

The spelling of 20296120 in words is "twenty million, two hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 1697 2392 2990 3394 5980 6788 8485 11960 13576 16970 22061 33940 39031 44122 67880 78062 88244 110305 156124 176488 195155 220610 312248 390310 441220 507403 780620 882440 1014806 1561240 2029612 2537015 4059224 5074030 10148060 20296120