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1006632 = 2332113141
BaseRepresentation
bin11110101110000101000
31220010211200
43311300220
5224203012
633324200
711361534
oct3656050
91803750
101006632
11628330
12406660
13293253
141c2bc4
1514d3dc
hexf5c28

1006632 has 96 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 288000.

The previous prime is 1006613. The next prime is 1006633. The reversal of 1006632 is 2366001.

It is a happy number.

1006632 is a `hidden beast` number, since 1 + 0 + 0 + 663 + 2 = 666.

1006632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1006633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532 + ... + 24572.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

21006632 is an apocalyptic number.

1006632 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 1006632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1006632 is an abundant number, since it is smaller than the sum of its proper divisors (2138328).

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

1006632 is a wasteful number, since it uses less digits than its factorization.

1006632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1006632 is about 1003.3105202279. The cubic root of 1006632 is about 100.2205797546.

The spelling of 1006632 in words is "one million, six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 41 44 62 66 72 82 88 93 99 123 124 132 164 186 198 246 248 264 279 328 341 369 372 396 451 492 558 682 738 744 792 902 984 1023 1116 1271 1353 1364 1476 1804 2046 2232 2542 2706 2728 2952 3069 3608 3813 4059 4092 5084 5412 6138 7626 8118 8184 10168 10824 11439 12276 13981 15252 16236 22878 24552 27962 30504 32472 41943 45756 55924 83886 91512 111848 125829 167772 251658 335544 503316 1006632