Search a number
-
+
2028132 = 223389211
BaseRepresentation
bin111101111001001100100
310211001002000
413233021210
51004400012
6111245300
723144631
oct7571144
93731060
102028132
111165847
12819830
135601a2
143ab188
152a0ddc
hex1ef264

2028132 has 48 divisors (see below), whose sum is σ = 5342400. Its totient is φ = 665280.

The previous prime is 2028121. The next prime is 2028137. The reversal of 2028132 is 2318202.

It is a happy number.

It is a super-2 number, since 2×20281322 = 8226638818848, which contains 22 as substring.

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 (2028137) 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, 9507 + ... + 9717.

It is an arithmetic number, because the mean of its divisors is an integer number (111300).

22028132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671200).

2028132 is an abundant number, since it is smaller than the sum of its proper divisors (3314268).

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

2028132 is a wasteful number, since it uses less digits than its factorization.

2028132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2028132 is about 1424.1249945142. The cubic root of 2028132 is about 126.5800916562.

The spelling of 2028132 in words is "two million, twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 211 267 356 422 534 633 801 844 1068 1266 1602 1899 2403 2532 3204 3798 4806 5697 7596 9612 11394 18779 22788 37558 56337 75116 112674 169011 225348 338022 507033 676044 1014066 2028132