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20752440 = 23352373103
BaseRepresentation
bin100111100101…
…0100000111000
31110001022222220
41033022200320
520303034230
62020444040
7341251512
oct117124070
943038886
1020752440
1110794685
126b49620
1343b7a67
142a82bb2
151c4dd10
hex13ca838

20752440 has 128 divisors (see below), whose sum is σ = 66493440. Its totient is φ = 5170176.

The previous prime is 20752411. The next prime is 20752441. The reversal of 20752440 is 4425702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20752440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20752441) 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 31 ways as a sum of consecutive naturals, for example, 201429 + ... + 201531.

It is an arithmetic number, because the mean of its divisors is an integer number (519480).

Almost surely, 220752440 is an apocalyptic number.

20752440 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 20752440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33246720).

20752440 is an abundant number, since it is smaller than the sum of its proper divisors (45741000).

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

20752440 is a wasteful number, since it uses less digits than its factorization.

20752440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 20752440 is about 4555.4846064936. The cubic root of 20752440 is about 274.8040035945.

The spelling of 20752440 in words is "twenty million, seven hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 73 92 103 115 120 138 146 184 206 219 230 276 292 309 345 365 412 438 460 515 552 584 618 690 730 824 876 920 1030 1095 1236 1380 1460 1545 1679 1752 2060 2190 2369 2472 2760 2920 3090 3358 4120 4380 4738 5037 6180 6716 7107 7519 8395 8760 9476 10074 11845 12360 13432 14214 15038 16790 18952 20148 22557 23690 25185 28428 30076 33580 35535 37595 40296 45114 47380 50370 56856 60152 67160 71070 75190 90228 94760 100740 112785 142140 150380 172937 180456 201480 225570 284280 300760 345874 451140 518811 691748 864685 902280 1037622 1383496 1729370 2075244 2594055 3458740 4150488 5188110 6917480 10376220 20752440