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1206864 = 243217229
BaseRepresentation
bin100100110101001010000
32021022111200
410212221100
5302104424
641511200
713154361
oct4465120
92238450
101206864
1175480a
124a2500
13333429
14235b68
1518c8c9
hex126a50

1206864 has 90 divisors (see below), whose sum is σ = 3711630. Its totient is φ = 365568.

The previous prime is 1206841. The next prime is 1206869. The reversal of 1206864 is 4686021.

It can be written as a sum of positive squares in 3 ways, for example, as 501264 + 705600 = 708^2 + 840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41602 + ... + 41630.

21206864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855815).

1206864 is an abundant number, since it is smaller than the sum of its proper divisors (2504766).

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

1206864 is a wasteful number, since it uses less digits than its factorization.

1206864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1206864 is about 1098.5736206554. The cubic root of 1206864 is about 106.4680853919.

The spelling of 1206864 in words is "one million, two hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 289 306 348 408 464 493 522 578 612 696 816 867 986 1044 1156 1224 1392 1479 1734 1972 2088 2312 2448 2601 2958 3468 3944 4176 4437 4624 5202 5916 6936 7888 8381 8874 10404 11832 13872 16762 17748 20808 23664 25143 33524 35496 41616 50286 67048 70992 75429 100572 134096 150858 201144 301716 402288 603432 1206864