Search a number
-
+
1023132 = 2231123337
BaseRepresentation
bin11111001110010011100
31220222110210
43321302130
5230220012
633532420
711460615
oct3716234
91828423
101023132
11639770
12414110
1329a906
141c8c0c
1515323c
hexf9c9c

1023132 has 48 divisors (see below), whose sum is σ = 2725632. Its totient is φ = 295680.

The previous prime is 1023107. The next prime is 1023133. The reversal of 1023132 is 2313201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

1023132 is a Rhonda number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2868 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

21023132 is an apocalyptic number.

1023132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1011×1012.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362816).

1023132 is an abundant number, since it is smaller than the sum of its proper divisors (1702500).

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

1023132 is a wasteful number, since it uses less digits than its factorization.

1023132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1023132 is about 1011.4998764211. The cubic root of 1023132 is about 100.7651964755.

Adding to 1023132 its reverse (2313201), we get a palindrome (3336333).

The spelling of 1023132 in words is "one million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 337 506 674 759 1011 1012 1348 1518 2022 3036 3707 4044 7414 7751 11121 14828 15502 22242 23253 31004 44484 46506 85261 93012 170522 255783 341044 511566 1023132