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20365140 = 22353110949
BaseRepresentation
bin100110110101…
…1111101010100
31102022122201110
41031223331110
520203141030
62004255020
7335046405
oct115537524
942278643
1020365140
111054a6a4
1269a1470
1342b06a3
1429c19ac
151bc41b0
hex136bf54

20365140 has 48 divisors (see below), whose sum is σ = 58867200. Its totient is φ = 5255040.

The previous prime is 20365139. The next prime is 20365141. The reversal of 20365140 is 4156302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20365139) and next prime (20365141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20365141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3615 + ... + 7334.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 220365140 is an apocalyptic number.

20365140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20365140 is an abundant number, since it is smaller than the sum of its proper divisors (38502060).

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

20365140 is a wasteful number, since it uses less digits than its factorization.

20365140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20365140 is about 4512.7751993646. The cubic root of 20365140 is about 273.0837135428.

The spelling of 20365140 in words is "twenty million, three hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 10949 21898 32847 43796 54745 65694 109490 131388 164235 218980 328470 339419 656940 678838 1018257 1357676 1697095 2036514 3394190 4073028 5091285 6788380 10182570 20365140