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11960000 = 26541323
BaseRepresentation
bin101101100111…
…111011000000
3211111122000222
4231213323000
511030210000
61104202212
7203441543
oct55477300
924448028
1011960000
1168297a8
124009368
132629a30
14183485a
1510b3a85
hexb67ec0

11960000 has 140 divisors (see below), whose sum is σ = 33326832. Its totient is φ = 4224000.

The previous prime is 11959999. The next prime is 11960059. The reversal of 11960000 is 6911.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 519989 + ... + 520011.

Almost surely, 211960000 is an apocalyptic number.

11960000 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 11960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663416).

11960000 is an abundant number, since it is smaller than the sum of its proper divisors (21366832).

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

11960000 is an equidigital number, since it uses as much as digits as its factorization.

11960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11960000 is about 3458.3232931581. The cubic root of 11960000 is about 228.6881843978.

Adding to 11960000 its reverse (6911), we get a palindrome (11966911).

The spelling of 11960000 in words is "eleven million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 80 92 100 104 115 125 130 160 184 200 208 230 250 260 299 320 325 368 400 416 460 500 520 575 598 625 650 736 800 832 920 1000 1040 1150 1196 1250 1300 1472 1495 1600 1625 1840 2000 2080 2300 2392 2500 2600 2875 2990 3250 3680 4000 4160 4600 4784 5000 5200 5750 5980 6500 7360 7475 8000 8125 9200 9568 10000 10400 11500 11960 13000 14375 14950 16250 18400 19136 20000 20800 23000 23920 26000 28750 29900 32500 36800 37375 40000 46000 47840 52000 57500 59800 65000 74750 92000 95680 104000 115000 119600 130000 149500 184000 186875 230000 239200 260000 299000 373750 460000 478400 520000 598000 747500 920000 1196000 1495000 2392000 2990000 5980000 11960000