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20753740 = 2257532797
BaseRepresentation
bin100111100101…
…0110101001100
31110001101210001
41033022311030
520303104430
62020454044
7341255350
oct117126514
943041701
1020753740
1110795657
126b4a324
1343b8527
142a83460
151c4e3ca
hex13cad4c

20753740 has 48 divisors (see below), whose sum is σ = 50766912. Its totient is φ = 6978816.

The previous prime is 20753737. The next prime is 20753771. The reversal of 20753740 is 4735702.

20753740 = T473 + T474 + ... + T612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20753699 and 20753708.

It is an unprimeable number.

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, 6022 + ... + 8818.

It is an arithmetic number, because the mean of its divisors is an integer number (1057644).

Almost surely, 220753740 is an apocalyptic number.

20753740 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 20753740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25383456).

20753740 is an abundant number, since it is smaller than the sum of its proper divisors (30013172).

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

20753740 is a wasteful number, since it uses less digits than its factorization.

20753740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 20753740 is about 4555.6272894081. The cubic root of 20753740 is about 274.8097416787.

The spelling of 20753740 in words is "twenty million, seven hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 2797 3710 5594 7420 11188 13985 19579 27970 39158 55940 78316 97895 148241 195790 296482 391580 592964 741205 1037687 1482410 2075374 2964820 4150748 5188435 10376870 20753740