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11913840 = 2432516547
BaseRepresentation
bin101101011100…
…101001110000
3211102021201100
4231130221300
511022220330
61103204400
7203160141
oct55345160
924367640
1011913840
1167a8054
123ba6700
132611a13
141821ac8
1510a5060
hexb5ca70

11913840 has 60 divisors (see below), whose sum is σ = 40013064. Its totient is φ = 3176832.

The previous prime is 11913823. The next prime is 11913841. The reversal of 11913840 is 4831911.

11913840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×119138403 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11913841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7554 + ... + 8993.

Almost surely, 211913840 is an apocalyptic number.

11913840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11913840 is an abundant number, since it is smaller than the sum of its proper divisors (28099224).

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

11913840 is a wasteful number, since it uses less digits than its factorization.

11913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16566 (or 16557 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11913840 is about 3451.6430869949. The cubic root of 11913840 is about 228.3935953089.

The spelling of 11913840 in words is "eleven million, nine hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16547 33094 49641 66188 82735 99282 132376 148923 165470 198564 248205 264752 297846 330940 397128 496410 595692 661880 744615 794256 992820 1191384 1323760 1489230 1985640 2382768 2978460 3971280 5956920 11913840