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20396740 = 22572131601
BaseRepresentation
bin100110111001…
…1101011000100
31102101021001211
41031303223010
520210143430
62005101204
7335240500
oct115635304
942337054
1020396740
1110571411
1269b7804
1342c1ba0
1429cd300
151bcd72a
hex1373ac4

20396740 has 72 divisors (see below), whose sum is σ = 53692632. Its totient is φ = 6451200.

The previous prime is 20396689. The next prime is 20396741. The reversal of 20396740 is 4769302.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 15808576 = 2142^2 + 3976^2 .

It is not an unprimeable number, because it can be changed into a prime (20396741) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11940 + ... + 13540.

It is an arithmetic number, because the mean of its divisors is an integer number (745731).

Almost surely, 220396740 is an apocalyptic number.

20396740 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 20396740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26846316).

20396740 is an abundant number, since it is smaller than the sum of its proper divisors (33295892).

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

20396740 is a wasteful number, since it uses less digits than its factorization.

20396740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 20396740 is about 4516.2750137696. The cubic root of 20396740 is about 273.2248859226.

The spelling of 20396740 in words is "twenty million, three hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1601 1820 2548 3185 3202 6370 6404 8005 11207 12740 16010 20813 22414 32020 41626 44828 56035 78449 83252 104065 112070 145691 156898 208130 224140 291382 313796 392245 416260 582764 728455 784490 1019837 1456910 1568980 2039674 2913820 4079348 5099185 10198370 20396740