Search a number
-
+
1232134420 = 22511192811049
BaseRepresentation
bin100100101110000…
…1110000100010100
310011212110220200011
41021130032010110
510010411300140
6322132530004
742350653426
oct11134160424
93155426604
101232134420
11582564910
122a4780904
13168365b2a
14b98d6816
1573286cea
hex4970e114

1232134420 has 96 divisors (see below), whose sum is σ = 2984688000. Its totient is φ = 422553600.

The previous prime is 1232134399. The next prime is 1232134429. The reversal of 1232134420 is 244312321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1232134391 and 1232134400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232134429) 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, 1174056 + ... + 1175104.

It is an arithmetic number, because the mean of its divisors is an integer number (31090500).

Almost surely, 21232134420 is an apocalyptic number.

1232134420 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 1232134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492344000).

1232134420 is an abundant number, since it is smaller than the sum of its proper divisors (1752553580).

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

1232134420 is a wasteful number, since it uses less digits than its factorization.

1232134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1232134420 is about 35101.7723199271. The cubic root of 1232134420 is about 1072.0606691828.

Adding to 1232134420 its reverse (244312321), we get a palindrome (1476446741).

The spelling of 1232134420 in words is "one billion, two hundred thirty-two million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 281 380 418 562 836 1045 1049 1124 1405 2090 2098 2810 3091 4180 4196 5245 5339 5620 6182 10490 10678 11539 12364 15455 19931 20980 21356 23078 26695 30910 39862 46156 53390 57695 58729 61820 79724 99655 106780 115390 117458 199310 219241 230780 234916 293645 294769 398620 438482 587290 589538 876964 1096205 1174580 1179076 1473845 2192410 2947690 3242459 4384820 5600611 5895380 6484918 11201222 12969836 16212295 22402444 28003055 32424590 56006110 61606721 64849180 112012220 123213442 246426884 308033605 616067210 1232134420