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2045142 = 233112313
BaseRepresentation
bin111110011010011010110
310211220102000
413303103112
51010421032
6111500130
723245341
oct7632326
93756360
102045142
111177600
12827646
13567b58
143b3458
152a5e7c
hex1f34d6

2045142 has 48 divisors (see below), whose sum is σ = 5011440. Its totient is φ = 617760.

The previous prime is 2045129. The next prime is 2045177. The reversal of 2045142 is 2415402.

Added to its reverse (2415402) it gives a square (4460544 = 21122).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6378 + ... + 6690.

It is an arithmetic number, because the mean of its divisors is an integer number (104405).

22045142 is an apocalyptic number.

2045142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505720).

2045142 is an abundant number, since it is smaller than the sum of its proper divisors (2966298).

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

2045142 is a wasteful number, since it uses less digits than its factorization.

2045142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2045142 is about 1430.0846128813. The cubic root of 2045142 is about 126.9329838421.

Adding to 2045142 its reverse (2415402), we get a square (4460544 = 21122).

It can be divided in two parts, 2045 and 142, that added together give a 7-th power (2187 = 37).

The spelling of 2045142 in words is "two million, forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 313 363 594 626 726 939 1089 1878 2178 2817 3267 3443 5634 6534 6886 8451 10329 16902 20658 30987 37873 61974 75746 92961 113619 185922 227238 340857 681714 1022571 2045142