Search a number
-
+
12270760 = 2354761107
BaseRepresentation
bin101110110011…
…110010101000
3212002102022121
4232303302220
511120131020
61115001024
7206204545
oct56636250
925072277
1012270760
116a21227
124139174
132708308
1418b5bcc
151125baa
hexbb3ca8

12270760 has 64 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 4680960.

The previous prime is 12270757. The next prime is 12270763. The reversal of 12270760 is 6707221.

It is an interprime number because it is at equal distance from previous prime (12270757) and next prime (12270763).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270763) 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 15 ways as a sum of consecutive naturals, for example, 114627 + ... + 114733.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 212270760 is an apocalyptic number.

12270760 is a gapful number since it is divisible by the number (10) 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 12270760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

12270760 is an abundant number, since it is smaller than the sum of its proper divisors (16655960).

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

12270760 is a wasteful number, since it uses less digits than its factorization.

12270760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 12270760 is about 3502.9644588548. The cubic root of 12270760 is about 230.6519624130.

Adding to 12270760 its reverse (6707221), we get a palindrome (18977981).

The spelling of 12270760 in words is "twelve million, two hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 107 122 188 214 235 244 305 376 428 470 488 535 610 856 940 1070 1220 1880 2140 2440 2867 4280 5029 5734 6527 10058 11468 13054 14335 20116 22936 25145 26108 28670 32635 40232 50290 52216 57340 65270 100580 114680 130540 201160 261080 306769 613538 1227076 1533845 2454152 3067690 6135380 12270760