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1232112440 = 235137989337
BaseRepresentation
bin100100101110000…
…1000101100111000
310011212102210112002
41021130020230320
510010410044230
6322132240132
742350532356
oct11134105470
93155383462
101232112440
1158254a349
122a4770048
13168358b20
14b98cc7d6
1573280545
hex49708b38

1232112440 has 128 divisors (see below), whose sum is σ = 3066336000. Its totient is φ = 442810368.

The previous prime is 1232112403. The next prime is 1232112449. The reversal of 1232112440 is 442112321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232112449) 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 31 ways as a sum of consecutive naturals, for example, 3655952 + ... + 3656288.

It is an arithmetic number, because the mean of its divisors is an integer number (23955750).

Almost surely, 21232112440 is an apocalyptic number.

1232112440 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 1232112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533168000).

1232112440 is an abundant number, since it is smaller than the sum of its proper divisors (1834223560).

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

1232112440 is a wasteful number, since it uses less digits than its factorization.

1232112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1232112440 is about 35101.4592289267. The cubic root of 1232112440 is about 1072.0542943281.

Adding to 1232112440 its reverse (442112321), we get a palindrome (1674224761).

The spelling of 1232112440 in words is "one billion, two hundred thirty-two million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 89 104 130 158 178 260 316 337 356 395 445 520 632 674 712 790 890 1027 1157 1348 1580 1685 1780 2054 2314 2696 3160 3370 3560 4108 4381 4628 5135 5785 6740 7031 8216 8762 9256 10270 11570 13480 14062 17524 20540 21905 23140 26623 28124 29993 35048 35155 41080 43810 46280 53246 56248 59986 70310 87620 91403 106492 119972 133115 140620 149965 175240 182806 212984 239944 266230 281240 299930 346099 365612 389909 457015 532460 599860 692198 731224 779818 914030 1064920 1199720 1384396 1559636 1730495 1828060 1949545 2369447 2768792 3119272 3460990 3656120 3899090 4738894 6921980 7798180 9477788 11847235 13843960 15596360 18955576 23694470 30802811 47388940 61605622 94777880 123211244 154014055 246422488 308028110 616056220 1232112440