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20270640 = 2435137389
BaseRepresentation
bin100110101010…
…0111000110000
31102010212002110
41031110320300
520142130030
62002245320
7334204035
oct115247060
942125073
1020270640
11104956a5
126956840
134279680
14299938c
151ba61b0
hex1354e30

20270640 has 160 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 4866048.

The previous prime is 20270629. The next prime is 20270641. The reversal of 20270640 is 4607202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20270641) 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, 227716 + ... + 227804.

It is an arithmetic number, because the mean of its divisors is an integer number (433566).

Almost surely, 220270640 is an apocalyptic number.

20270640 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 20270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

20270640 is an abundant number, since it is smaller than the sum of its proper divisors (49099920).

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

20270640 is a wasteful number, since it uses less digits than its factorization.

20270640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20270640 is about 4502.2927492557. The cubic root of 20270640 is about 272.6606633290.

Adding to 20270640 its reverse (4607202), we get a palindrome (24877842).

It can be divided in two parts, 20270 and 640, that added together give a triangular number (20910 = T204).

The spelling of 20270640 in words is "twenty million, two hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 73 78 80 89 104 120 130 146 156 178 195 208 219 240 260 267 292 312 356 365 390 438 445 520 534 584 624 712 730 780 876 890 949 1040 1068 1095 1157 1168 1335 1424 1460 1560 1752 1780 1898 2136 2190 2314 2670 2847 2920 3120 3471 3504 3560 3796 4272 4380 4628 4745 5340 5694 5785 5840 6497 6942 7120 7592 8760 9256 9490 10680 11388 11570 12994 13884 14235 15184 17355 17520 18512 18980 19491 21360 22776 23140 25988 27768 28470 32485 34710 37960 38982 45552 46280 51976 55536 56940 64970 69420 75920 77964 84461 92560 97455 103952 113880 129940 138840 155928 168922 194910 227760 253383 259880 277680 311856 337844 389820 422305 506766 519760 675688 779640 844610 1013532 1266915 1351376 1559280 1689220 2027064 2533830 3378440 4054128 5067660 6756880 10135320 20270640