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1006264 = 237217151
BaseRepresentation
bin11110101101010111000
31220010100001
43311222320
5224200024
633322344
711360500
oct3655270
91803301
101006264
11628026
124063b4
1329302c
141c2a00
1514d244
hexf5ab8

1006264 has 48 divisors (see below), whose sum is σ = 2339280. Its totient is φ = 403200.

The previous prime is 1006253. The next prime is 1006267. The reversal of 1006264 is 4626001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006267) 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, 6589 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (48735).

21006264 is an apocalyptic number.

1006264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169640).

1006264 is an abundant number, since it is smaller than the sum of its proper divisors (1333016).

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

1006264 is a wasteful number, since it uses less digits than its factorization.

1006264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1006264 is about 1003.1271105897. The cubic root of 1006264 is about 100.2083655365.

The spelling of 1006264 in words is "one million, six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 151 196 238 302 392 476 604 833 952 1057 1208 1666 2114 2567 3332 4228 5134 6664 7399 8456 10268 14798 17969 20536 29596 35938 59192 71876 125783 143752 251566 503132 1006264