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11992905 = 3251761257
BaseRepresentation
bin101101101111…
…111101001001
3211120022011200
4231233331021
511032233110
61105014413
7203636511
oct55577511
924508150
1011992905
1168514a1
124024409
13263b9c2
141842841
1510bd6c0
hexb6ff49

11992905 has 48 divisors (see below), whose sum is σ = 22458384. Its totient is φ = 5898240.

The previous prime is 11992901. The next prime is 11992909. The reversal of 11992905 is 50929911.

11992905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11992901) and next prime (11992909).

It can be written as a sum of positive squares in 8 ways, for example, as 131769 + 11861136 = 363^2 + 3444^2 .

It is not a de Polignac number, because 11992905 - 22 = 11992901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11992905.

It is not an unprimeable number, because it can be changed into a prime (11992901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46537 + ... + 46793.

It is an arithmetic number, because the mean of its divisors is an integer number (467883).

Almost surely, 211992905 is an apocalyptic number.

11992905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11992905 is a deficient number, since it is larger than the sum of its proper divisors (10465479).

11992905 is a wasteful number, since it uses less digits than its factorization.

11992905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 11992905 is about 3463.0773886819. The cubic root of 11992905 is about 228.8977187955.

The spelling of 11992905 in words is "eleven million, nine hundred ninety-two thousand, nine hundred five".

Divisors: 1 3 5 9 15 17 45 51 61 85 153 183 255 257 305 549 765 771 915 1037 1285 2313 2745 3111 3855 4369 5185 9333 11565 13107 15555 15677 21845 39321 46665 47031 65535 78385 141093 196605 235155 266509 705465 799527 1332545 2398581 3997635 11992905