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11911920 = 243549633
BaseRepresentation
bin101101011100…
…001011110000
3211102012002020
4231130023300
511022140140
61103151440
7203151426
oct55341360
924365066
1011911920
1167a6669
123ba5580
132610b97
141821116
1510a46d0
hexb5c2f0

11911920 has 40 divisors (see below), whose sum is σ = 36927696. Its totient is φ = 3176448.

The previous prime is 11911919. The next prime is 11911927. The reversal of 11911920 is 2911911.

11911920 is digitally balanced in base 2, because in such base 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 (40).

It is a super-3 number, since 3×119119203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11911927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24577 + ... + 25056.

Almost surely, 211911920 is an apocalyptic number.

11911920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11911920 is an abundant number, since it is smaller than the sum of its proper divisors (25015776).

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

11911920 is a wasteful number, since it uses less digits than its factorization.

11911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49649 (or 49643 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 11911920 is about 3451.3649473795. The cubic root of 11911920 is about 228.3813255660.

Subtracting from 11911920 its reverse (2911911), we obtain a palindrome (9000009).

The spelling of 11911920 in words is "eleven million, nine hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 49633 99266 148899 198532 248165 297798 397064 496330 595596 744495 794128 992660 1191192 1488990 1985320 2382384 2977980 3970640 5955960 11911920