Search a number
-
+
12142494 = 2337213353
BaseRepresentation
bin101110010100…
…011110011110
3211211220101000
4232110132132
511102024434
61112131130
7205131600
oct56243636
924756330
1012142494
116943921
124096aa6
132691b10
141881170
1510ecb99
hexb9479e

12142494 has 96 divisors (see below), whose sum is σ = 33899040. Its totient is φ = 3193344.

The previous prime is 12142451. The next prime is 12142499. The reversal of 12142494 is 49424121.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34222 + ... + 34574.

It is an arithmetic number, because the mean of its divisors is an integer number (353115).

Almost surely, 212142494 is an apocalyptic number.

12142494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949520).

12142494 is an abundant number, since it is smaller than the sum of its proper divisors (21756546).

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

12142494 is a wasteful number, since it uses less digits than its factorization.

12142494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12142494 is about 3484.6081558764. The cubic root of 12142494 is about 229.8454790722.

The spelling of 12142494 in words is "twelve million, one hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 353 378 441 546 637 702 706 819 882 1059 1274 1323 1638 1911 2118 2457 2471 2646 3177 3822 4589 4914 4942 5733 6354 7413 9178 9531 11466 13767 14826 17199 17297 19062 22239 27534 32123 34398 34594 41301 44478 51891 64246 66717 82602 96369 103782 123903 133434 155673 192738 224861 247806 289107 311346 449722 467019 578214 674583 867321 934038 1349166 1734642 2023749 4047498 6071247 12142494