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11948940 = 2232566383
BaseRepresentation
bin101101100101…
…001110001100
3211111001212100
4231211032030
511024331230
61104035100
7203364363
oct55451614
924431770
1011948940
116821463
124002a90
1326249a3
1418307da
1510b0660
hexb6538c

11948940 has 36 divisors (see below), whose sum is σ = 36245664. Its totient is φ = 3186336.

The previous prime is 11948843. The next prime is 11948941. The reversal of 11948940 is 4984911.

11948940 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 (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11948895 and 11948904.

It is not an unprimeable number, because it can be changed into a prime (11948941) 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, 33012 + ... + 33371.

It is an arithmetic number, because the mean of its divisors is an integer number (1006824).

Almost surely, 211948940 is an apocalyptic number.

11948940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11948940 is an abundant number, since it is smaller than the sum of its proper divisors (24296724).

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

11948940 is a wasteful number, since it uses less digits than its factorization.

11948940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66398 (or 66393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11948940 is about 3456.7238825223. The cubic root of 11948940 is about 228.6176695881.

The spelling of 11948940 in words is "eleven million, nine hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 66383 132766 199149 265532 331915 398298 597447 663830 796596 995745 1194894 1327660 1991490 2389788 2987235 3982980 5974470 11948940