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1020132 = 223243659
BaseRepresentation
bin11111001000011100100
31220211100200
43321003210
5230121012
633510500
711446101
oct3710344
91824320
101020132
11637493
12412430
13299439
141c7aa8
151523dc
hexf90e4

1020132 has 36 divisors (see below), whose sum is σ = 2642640. Its totient is φ = 331632.

The previous prime is 1020113. The next prime is 1020137. The reversal of 1020132 is 2310201.

It is a happy number.

1020132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020137) 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, 1219 + ... + 1877.

21020132 is an apocalyptic number.

1020132 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 1020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321320).

1020132 is an abundant number, since it is smaller than the sum of its proper divisors (1622508).

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

1020132 is a wasteful number, since it uses less digits than its factorization.

1020132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1020132 is about 1010.0158414599. The cubic root of 1020132 is about 100.6666130628. Note that the first 4 decimals are identical.

Adding to 1020132 its reverse (2310201), we get a palindrome (3330333).

The spelling of 1020132 in words is "one million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 659 774 1318 1548 1977 2636 3954 5931 7908 11862 23724 28337 56674 85011 113348 170022 255033 340044 510066 1020132