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12163840 = 285131743
BaseRepresentation
bin101110011001…
…101100000000
3211212222122121
4232121230000
511103220330
61112414024
7205251043
oct56315400
924788577
1012163840
116958967
1240a7314
13269b750
141888c5a
15110417a
hexb99b00

12163840 has 144 divisors (see below), whose sum is σ = 33995808. Its totient is φ = 4128768.

The previous prime is 12163831. The next prime is 12163841. The reversal of 12163840 is 4836121.

It is a super-3 number, since 3×121638403 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12163841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282859 + ... + 282901.

It is an arithmetic number, because the mean of its divisors is an integer number (236082).

Almost surely, 212163840 is an apocalyptic number.

12163840 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 12163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997904).

12163840 is an abundant number, since it is smaller than the sum of its proper divisors (21831968).

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

12163840 is a wasteful number, since it uses less digits than its factorization.

12163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 12163840 is about 3487.6697091324. The cubic root of 12163840 is about 229.9800864927.

Adding to 12163840 its reverse (4836121), we get a palindrome (16999961).

It can be divided in two parts, 1 and 2163840, that added together give a square (2163841 = 14712).

The spelling of 12163840 in words is "twelve million, one hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 43 52 64 65 68 80 85 86 104 128 130 136 160 170 172 208 215 221 256 260 272 320 340 344 416 430 442 520 544 559 640 680 688 731 832 860 884 1040 1088 1105 1118 1280 1360 1376 1462 1664 1720 1768 2080 2176 2210 2236 2720 2752 2795 2924 3328 3440 3536 3655 4160 4352 4420 4472 5440 5504 5590 5848 6880 7072 7310 8320 8840 8944 9503 10880 11008 11180 11696 13760 14144 14620 16640 17680 17888 19006 21760 22360 23392 27520 28288 29240 35360 35776 38012 44720 46784 47515 55040 56576 58480 70720 71552 76024 89440 93568 95030 116960 141440 143104 152048 178880 187136 190060 233920 282880 304096 357760 380120 467840 608192 715520 760240 935680 1216384 1520480 2432768 3040960 6081920 12163840