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20940320 = 255294513
BaseRepresentation
bin100111111100…
…0011000100000
31110101212201102
41033320120200
520330042240
62024453532
7342663332
oct117703040
943355642
1020940320
1110902855
12701a2a8
13445242b
142ad1452
151c89815
hex13f8620

20940320 has 48 divisors (see below), whose sum is σ = 51188760. Its totient is φ = 8085504.

The previous prime is 20940289. The next prime is 20940329. The reversal of 20940320 is 2304902.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 11478544 = 3076^2 + 3388^2 .

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 = 20940292 and 20940301.

It is not an unprimeable number, because it can be changed into a prime (20940329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384 + ... + 6896.

Almost surely, 220940320 is an apocalyptic number.

20940320 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 20940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25594380).

20940320 is an abundant number, since it is smaller than the sum of its proper divisors (30248440).

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

20940320 is a wasteful number, since it uses less digits than its factorization.

20940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 20940320 is about 4576.0594401734. The cubic root of 20940320 is about 275.6308163409.

The spelling of 20940320 in words is "twenty million, nine hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4513 4640 9026 18052 22565 36104 45130 72208 90260 130877 144416 180520 261754 361040 523508 654385 722080 1047016 1308770 2094032 2617540 4188064 5235080 10470160 20940320