[go: up one dir, main page]

Search a number
-
+
20395596 = 22313289113
BaseRepresentation
bin100110111001…
…1011001001100
31102101012111110
41031303121030
520210124341
62005052020
7335234244
oct115633114
942335443
1020395596
1110570571
1269b7010
1342c1500
1429ccb24
151bcd216
hex137364c

20395596 has 72 divisors (see below), whose sum is σ = 52572240. Its totient is φ = 6150144.

The previous prime is 20395579. The next prime is 20395633. The reversal of 20395596 is 69559302.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 180436 + ... + 180548.

It is an arithmetic number, because the mean of its divisors is an integer number (730170).

Almost surely, 220395596 is an apocalyptic number.

20395596 is a gapful number since it is divisible by the number (26) 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 20395596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26286120).

20395596 is an abundant number, since it is smaller than the sum of its proper divisors (32176644).

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

20395596 is a wasteful number, since it uses less digits than its factorization.

20395596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 20395596 is about 4516.1483589448. The cubic root of 20395596 is about 273.2197776698.

The spelling of 20395596 in words is "twenty million, three hundred ninety-five thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 113 156 169 178 226 267 338 339 356 452 507 534 676 678 1014 1068 1157 1356 1469 2028 2314 2938 3471 4407 4628 5876 6942 8814 10057 13884 15041 17628 19097 20114 30082 30171 38194 40228 45123 57291 60164 60342 76388 90246 114582 120684 130741 180492 229164 261482 392223 522964 784446 1568892 1699633 3399266 5098899 6798532 10197798 20395596