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20059040 = 255283443
BaseRepresentation
bin100110010000…
…1001110100000
31101202002211102
41030201032200
520113342130
61553533532
7332333111
oct114411640
941662742
1020059040
1110360721
1268742a8
134204271
142942208
151b63645
hex13213a0

20059040 has 48 divisors (see below), whose sum is σ = 47664288. Its totient is φ = 7977216.

The previous prime is 20059009. The next prime is 20059049. The reversal of 20059040 is 4095002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20059049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45059 + ... + 45501.

It is an arithmetic number, because the mean of its divisors is an integer number (993006).

Almost surely, 220059040 is an apocalyptic number.

20059040 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 20059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832144).

20059040 is an abundant number, since it is smaller than the sum of its proper divisors (27605248).

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

20059040 is a wasteful number, since it uses less digits than its factorization.

20059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20059040 is about 4478.7319634021. The cubic root of 20059040 is about 271.7085979580.

The spelling of 20059040 in words is "twenty million, fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 443 566 886 1132 1415 1772 2215 2264 2830 3544 4430 4528 5660 7088 8860 9056 11320 14176 17720 22640 35440 45280 70880 125369 250738 501476 626845 1002952 1253690 2005904 2507380 4011808 5014760 10029520 20059040