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1066632 = 23372907
BaseRepresentation
bin100000100011010001000
32000012010220
410010122020
5233113012
634510040
712031500
oct4043210
92005126
101066632
11669416
12435320
132b4658
141daa00
1516108c
hex104688

1066632 has 48 divisors (see below), whose sum is σ = 3105360. Its totient is φ = 304416.

The previous prime is 1066621. The next prime is 1066643. The reversal of 1066632 is 2366601.

It is an interprime number because it is at equal distance from previous prime (1066621) and next prime (1066643).

It is a super-2 number, since 2×10666322 = 2275407646848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (64695).

21066632 is an apocalyptic number.

1066632 is a gapful number since it is divisible by the number (12) 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 1066632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552680).

1066632 is an abundant number, since it is smaller than the sum of its proper divisors (2038728).

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

1066632 is a wasteful number, since it uses less digits than its factorization.

1066632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1066632 is about 1032.7787759244. The cubic root of 1066632 is about 102.1734840824.

The spelling of 1066632 in words is "one million, sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 907 1176 1814 2721 3628 5442 6349 7256 10884 12698 19047 21768 25396 38094 44443 50792 76188 88886 133329 152376 177772 266658 355544 533316 1066632