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11914320 = 2435114513
BaseRepresentation
bin101101011100…
…110001010000
3211102022101010
4231130301100
511022224240
61103210520
7203161425
oct55346120
924368333
1011914320
1167a8450
123ba6a40
132611cc2
141821d4c
1510a5280
hexb5cc50

11914320 has 80 divisors (see below), whose sum is σ = 40300992. Its totient is φ = 2887680.

The previous prime is 11914307. The next prime is 11914321. The reversal of 11914320 is 2341911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11914321) 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 15 ways as a sum of consecutive naturals, for example, 384 + ... + 4896.

Almost surely, 211914320 is an apocalyptic number.

11914320 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 11914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150496).

11914320 is an abundant number, since it is smaller than the sum of its proper divisors (28386672).

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

11914320 is a wasteful number, since it uses less digits than its factorization.

11914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11914320 is about 3451.7126183968. The cubic root of 11914320 is about 228.3966625387.

The spelling of 11914320 in words is "eleven million, nine hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4513 9026 13539 18052 22565 27078 36104 45130 49643 54156 67695 72208 90260 99286 108312 135390 148929 180520 198572 216624 248215 270780 297858 361040 397144 496430 541560 595716 744645 794288 992860 1083120 1191432 1489290 1985720 2382864 2978580 3971440 5957160 11914320