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11923760 = 2451131319
BaseRepresentation
bin101101011111…
…000100110000
3211102210022202
4231133010300
511023030020
61103322332
7203231102
oct55370460
924383282
1011923760
116804552
123bb03a8
1326163a4
141825572
1510a7e75
hexb5f130

11923760 has 40 divisors (see below), whose sum is σ = 27989280. Its totient is φ = 4723712.

The previous prime is 11923741. The next prime is 11923763. The reversal of 11923760 is 6732911.

11923760 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 not an unprimeable number, because it can be changed into a prime (11923763) 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, 8381 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 211923760 is an apocalyptic number.

11923760 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 11923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640).

11923760 is an abundant number, since it is smaller than the sum of its proper divisors (16065520).

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

11923760 is a wasteful number, since it uses less digits than its factorization.

11923760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 11923760 is about 3453.0797847718. The cubic root of 11923760 is about 228.4569679893.

The spelling of 11923760 in words is "eleven million, nine hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1319 1808 2260 2638 4520 5276 6595 9040 10552 13190 21104 26380 52760 105520 149047 298094 596188 745235 1192376 1490470 2384752 2980940 5961880 11923760