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12143790 = 2335411097
BaseRepresentation
bin101110010100…
…110010101110
3211211222011000
4232110302232
511102100130
61112141130
7205135431
oct56246256
924758130
1012143790
11694489a
1240977a6
132692599
141881818
1510ed260
hexb94cae

12143790 has 64 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3156480.

The previous prime is 12143777. The next prime is 12143809. The reversal of 12143790 is 9734121.

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

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10522 + ... + 11618.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 212143790 is an apocalyptic number.

12143790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

12143790 is an abundant number, since it is smaller than the sum of its proper divisors (21059730).

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

12143790 is a wasteful number, since it uses less digits than its factorization.

12143790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12143790 is about 3484.7941115653. The cubic root of 12143790 is about 229.8536561167.

The spelling of 12143790 in words is "twelve million, one hundred forty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1097 1107 1230 1845 2194 2214 3291 3690 5485 5535 6582 9873 10970 11070 16455 19746 29619 32910 44977 49365 59238 89954 98730 134931 148095 224885 269862 296190 404793 449770 674655 809586 1214379 1349310 2023965 2428758 4047930 6071895 12143790