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1132992 = 26327281
BaseRepresentation
bin100010100100111000000
32010120011200
410110213000
5242223432
640141200
712426120
oct4244700
92116150
101132992
11704263
12467800
13308913
14216c80
15175a7c
hex1149c0

1132992 has 84 divisors (see below), whose sum is σ = 3724656. Its totient is φ = 322560.

The previous prime is 1132991. The next prime is 1132993. The reversal of 1132992 is 2992311.

It is an interprime number because it is at equal distance from previous prime (1132991) and next prime (1132993).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3892 + ... + 4172.

21132992 is an apocalyptic number.

1132992 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 1132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862328).

1132992 is an abundant number, since it is smaller than the sum of its proper divisors (2591664).

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

1132992 is a wasteful number, since it uses less digits than its factorization.

1132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1132992 is about 1064.4209693538. The cubic root of 1132992 is about 104.2498921725.

The spelling of 1132992 in words is "one million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 281 288 336 448 504 562 576 672 843 1008 1124 1344 1686 1967 2016 2248 2529 3372 3934 4032 4496 5058 5901 6744 7868 8992 10116 11802 13488 15736 17703 17984 20232 23604 26976 31472 35406 40464 47208 53952 62944 70812 80928 94416 125888 141624 161856 188832 283248 377664 566496 1132992