Search a number
-
+
11324432000 = 27537101111
BaseRepresentation
bin10101000101111110…
…10001111010000000
31002020012220202021102
422202333101322000
5141143023311000
65111413513532
7550426040510
oct124277217200
932205822242
1011324432000
11489138a412
1222406428a8
1310b61cac4b
14796003840
154642c73d5
hex2a2fd1e80

11324432000 has 128 divisors (see below), whose sum is σ = 32177882880. Its totient is φ = 3882624000.

The previous prime is 11324431997. The next prime is 11324432011. The reversal of 11324432000 is 23442311.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61445 + ... + 162555.

It is an arithmetic number, because the mean of its divisors is an integer number (251389710).

Almost surely, 211324432000 is an apocalyptic number.

11324432000 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 11324432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088941440).

11324432000 is an abundant number, since it is smaller than the sum of its proper divisors (20853450880).

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

11324432000 is an equidigital number, since it uses as much as digits as its factorization.

11324432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101147 (or 101125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11324432000 its reverse (23442311), we get a palindrome (11347874311).

The spelling of 11324432000 in words is "eleven billion, three hundred twenty-four million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 101111 112000 202222 404444 505555 707777 808888 1011110 1415554 1617776 2022220 2527775 2831108 3235552 3538885 4044440 5055550 5662216 6471104 7077770 8088880 10111100 11324432 12638875 12942208 14155540 16177760 17694425 20222200 22648864 25277750 28311080 32355520 35388850 40444400 45297728 50555500 56622160 64711040 70777700 80888800 88472125 90595456 101111000 113244320 141555400 161777600 176944250 202222000 226488640 283110800 323555200 353888500 404444000 452977280 566221600 707777000 808888000 1132443200 1415554000 1617776000 2264886400 2831108000 5662216000 11324432000