Search a number
-
+
12634140 = 22352953137
BaseRepresentation
bin110000001100…
…100000011100
3212202212210010
4300030200130
511213243030
61130443220
7212250141
oct60144034
925685703
1012634140
11714a242
124293510
13280482c
14196c3c8
1511986b0
hexc0c81c

12634140 has 96 divisors (see below), whose sum is σ = 37558080. Its totient is φ = 3168256.

The previous prime is 12634133. The next prime is 12634147. The reversal of 12634140 is 4143621.

It is an interprime number because it is at equal distance from previous prime (12634133) and next prime (12634147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12634147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92152 + ... + 92288.

It is an arithmetic number, because the mean of its divisors is an integer number (391230).

Almost surely, 212634140 is an apocalyptic number.

12634140 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 12634140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779040).

12634140 is an abundant number, since it is smaller than the sum of its proper divisors (24923940).

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

12634140 is a wasteful number, since it uses less digits than its factorization.

12634140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12634140 is about 3554.4535444988. The cubic root of 12634140 is about 232.9066533430.

Adding to 12634140 its reverse (4143621), we get a palindrome (16777761).

The spelling of 12634140 in words is "twelve million, six hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 137 145 159 174 212 265 274 290 318 348 411 435 530 548 580 636 685 795 822 870 1060 1370 1537 1590 1644 1740 2055 2740 3074 3180 3973 4110 4611 6148 7261 7685 7946 8220 9222 11919 14522 15370 15892 18444 19865 21783 23055 23838 29044 30740 36305 39730 43566 46110 47676 59595 72610 79460 87132 92220 108915 119190 145220 210569 217830 238380 421138 435660 631707 842276 1052845 1263414 2105690 2526828 3158535 4211380 6317070 12634140