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11812257 = 334011091
BaseRepresentation
bin101101000011…
…110110100001
3211020010101000
4231003312201
511010443012
61101102213
7202255032
oct55036641
924203330
1011812257
1167387a6
123b57969
1325a7702
1417d6a89
151084ddc
hexb43da1

11812257 has 16 divisors (see below), whose sum is σ = 17559360. Its totient is φ = 7848000.

The previous prime is 11812249. The next prime is 11812259. The reversal of 11812257 is 75221811.

11812257 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 not a de Polignac number, because 11812257 - 23 = 11812249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11812257.

It is not an unprimeable number, because it can be changed into a prime (11812259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10282 + ... + 11372.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460).

Almost surely, 211812257 is an apocalyptic number.

It is an amenable number.

11812257 is a deficient number, since it is larger than the sum of its proper divisors (5747103).

11812257 is a wasteful number, since it uses less digits than its factorization.

11812257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1495 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 11812257 is about 3436.8964197369. The cubic root of 11812257 is about 227.7426112056.

Subtracting from 11812257 its sum of digits (27), we obtain a triangular number (11812230 = T4860).

The spelling of 11812257 in words is "eleven million, eight hundred twelve thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 401 1091 1203 3273 3609 9819 10827 29457 437491 1312473 3937419 11812257