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1008864 = 253231113
BaseRepresentation
bin11110110010011100000
31220020220100
43312103200
5224240424
633342400
711401203
oct3662340
91806810
101008864
11629a7a
12407a00
1329427c
141c393a
1514ddc9
hexf64e0

1008864 has 72 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 322560.

The previous prime is 1008863. The next prime is 1008871. The reversal of 1008864 is 4688001.

1008864 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008863) 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, 8872 + ... + 8984.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

21008864 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 1008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).

1008864 is an abundant number, since it is smaller than the sum of its proper divisors (1978848).

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

1008864 is a wasteful number, since it uses less digits than its factorization.

1008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1008864 is about 1004.4222219764. The cubic root of 1008864 is about 100.2945979350.

The spelling of 1008864 in words is "one million, eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 113 124 144 186 226 248 279 288 339 372 452 496 558 678 744 904 992 1017 1116 1356 1488 1808 2034 2232 2712 2976 3503 3616 4068 4464 5424 7006 8136 8928 10509 10848 14012 16272 21018 28024 31527 32544 42036 56048 63054 84072 112096 126108 168144 252216 336288 504432 1008864