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1085436 = 2232112741
BaseRepresentation
bin100001000111111111100
32001010221100
410020333330
5234213221
635133100
712140352
oct4107774
92033840
101085436
11681560
12444190
132c0091
142037d2
15166926
hex108ffc

1085436 has 36 divisors (see below), whose sum is σ = 2994264. Its totient is φ = 328800.

The previous prime is 1085431. The next prime is 1085443. The reversal of 1085436 is 6345801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085431) 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, 975 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (83174).

21085436 is an apocalyptic number.

It is an amenable number.

1085436 is an abundant number, since it is smaller than the sum of its proper divisors (1908828).

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

1085436 is a wasteful number, since it uses less digits than its factorization.

1085436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1085436 is about 1041.8425984764. The cubic root of 1085436 is about 102.7704063755.

It can be divided in two parts, 1085 and 436, that added together give a square (1521 = 392).

The spelling of 1085436 in words is "one million, eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2741 5482 8223 10964 16446 24669 30151 32892 49338 60302 90453 98676 120604 180906 271359 361812 542718 1085436