Search a number
-
+
1388205 = 335713113
BaseRepresentation
bin101010010111010101101
32121112021000
411102322231
5323410310
645430513
714541150
oct5227255
92545230
101388205
11868a85
1256b439
13397b30
14281c97
151c64c0
hex152ead

1388205 has 64 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 580608.

The previous prime is 1388183. The next prime is 1388227. The reversal of 1388205 is 5028831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1388183) and next prime (1388227).

It is not a de Polignac number, because 1388205 - 26 = 1388141 is a prime.

It is a super-2 number, since 2×13882052 = 3854226244050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12229 + ... + 12341.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

21388205 is an apocalyptic number.

1388205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1388205 is an abundant number, since it is smaller than the sum of its proper divisors (1676115).

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

1388205 is a wasteful number, since it uses less digits than its factorization.

1388205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1388205 is about 1178.2211167688. The cubic root of 1388205 is about 111.5538426302.

1388205 divided by its sum of digits (27) gives a palindrome (51415).

The spelling of 1388205 in words is "one million, three hundred eighty-eight thousand, two hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 113 117 135 189 195 273 315 339 351 455 565 585 791 819 945 1017 1365 1469 1695 1755 2373 2457 3051 3955 4095 4407 5085 7119 7345 10283 11865 12285 13221 15255 21357 22035 30849 35595 39663 51415 66105 92547 106785 154245 198315 277641 462735 1388205