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13340000 = 25542329
BaseRepresentation
bin110010111000…
…110101100000
3221002202001002
4302320311200
511403340000
61153531132
7221250062
oct62706540
927082032
1013340000
1175915a3
124573aa8
1329c0bbb
141ab3732
1512878d5
hexcb8d60

13340000 has 120 divisors (see below), whose sum is σ = 35426160. Its totient is φ = 4928000.

The previous prime is 13339999. The next prime is 13340003. The reversal of 13340000 is 4331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459986 + ... + 460014.

It is an arithmetic number, because the mean of its divisors is an integer number (295218).

Almost surely, 213340000 is an apocalyptic number.

13340000 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 13340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713080).

13340000 is an abundant number, since it is smaller than the sum of its proper divisors (22086160).

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

13340000 is an equidigital number, since it uses as much as digits as its factorization.

13340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13340000 is about 3652.3964735499. The cubic root of 13340000 is about 237.1657347510.

Adding to 13340000 its reverse (4331), we get a palindrome (13344331).

The spelling of 13340000 in words is "thirteen million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 29 32 40 46 50 58 80 92 100 115 116 125 145 160 184 200 230 232 250 290 368 400 460 464 500 575 580 625 667 725 736 800 920 928 1000 1150 1160 1250 1334 1450 1840 2000 2300 2320 2500 2668 2875 2900 3335 3625 3680 4000 4600 4640 5000 5336 5750 5800 6670 7250 9200 10000 10672 11500 11600 13340 14375 14500 16675 18125 18400 20000 21344 23000 23200 26680 28750 29000 33350 36250 46000 53360 57500 58000 66700 72500 83375 92000 106720 115000 116000 133400 145000 166750 230000 266800 290000 333500 416875 460000 533600 580000 667000 833750 1334000 1667500 2668000 3335000 6670000 13340000