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11720640 = 263529421
BaseRepresentation
bin101100101101…
…011111000000
3211001110200210
4230231133000
511000030030
61055114120
7201423651
oct54553700
924043623
1011720640
116685988
123b12940
132574ab9
1417b1528
151067bb0
hexb2d7c0

11720640 has 112 divisors (see below), whose sum is σ = 38587680. Its totient is φ = 3010560.

The previous prime is 11720627. The next prime is 11720641. The reversal of 11720640 is 4602711.

11720640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720641) 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, 27630 + ... + 28050.

Almost surely, 211720640 is an apocalyptic number.

11720640 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 11720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293840).

11720640 is an abundant number, since it is smaller than the sum of its proper divisors (26867040).

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

11720640 is a wasteful number, since it uses less digits than its factorization.

11720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11720640 is about 3423.5420254467. The cubic root of 11720640 is about 227.1522844980.

The spelling of 11720640 in words is "eleven million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 421 435 464 480 580 696 842 870 928 960 1160 1263 1392 1684 1740 1856 2105 2320 2526 2784 3368 3480 4210 4640 5052 5568 6315 6736 6960 8420 9280 10104 12209 12630 13472 13920 16840 20208 24418 25260 26944 27840 33680 36627 40416 48836 50520 61045 67360 73254 80832 97672 101040 122090 134720 146508 183135 195344 202080 244180 293016 366270 390688 404160 488360 586032 732540 781376 976720 1172064 1465080 1953440 2344128 2930160 3906880 5860320 11720640