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240000020 = 225131922557
BaseRepresentation
bin11100100111000…
…01110000010100
3121201121021010122
432103201300110
5442420000040
635452011112
75642652341
oct1623416024
9551537118
10240000020
11113523627
1268460a98
133a950b60
1423c357c8
151610b1b5
hexe4e1c14

240000020 has 72 divisors (see below), whose sum is σ = 573063624. Its totient is φ = 83918592.

The previous prime is 240000011. The next prime is 240000029. The reversal of 240000020 is 20000042.

It is an interprime number because it is at equal distance from previous prime (240000011) and next prime (240000029).

It can be written as a sum of positive squares in 4 ways, for example, as 1976836 + 238023184 = 1406^2 + 15428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 239999962 and 240000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240000029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92582 + ... + 95138.

It is an arithmetic number, because the mean of its divisors is an integer number (7959217).

Almost surely, 2240000020 is an apocalyptic number.

240000020 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 240000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286531812).

240000020 is an abundant number, since it is smaller than the sum of its proper divisors (333063604).

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

240000020 is a wasteful number, since it uses less digits than its factorization.

240000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 240000020 is about 15491.9340303269. The cubic root of 240000020 is about 621.4465184532.

Adding to 240000020 its reverse (20000042), we get a palindrome (260000062).

The spelling of 240000020 in words is "two hundred forty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 2557 3610 4693 4940 5114 7220 9386 10228 12785 18772 23465 25570 33241 46930 48583 51140 66482 93860 97166 132964 166205 194332 242915 332410 485830 631579 664820 923077 971660 1263158 1846154 2526316 3157895 3692308 4615385 6315790 9230770 12000001 12631580 18461540 24000002 48000004 60000005 120000010 240000020