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42103000 = 235371593
BaseRepresentation
bin1010000010011…
…1000011011000
32221020001110101
42200213003120
541234244000
64102225144
71020604162
oct240470330
987201411
1042103000
1121847675
12121251b4
138951b24
14583d932
153a69e6a
hex28270d8

42103000 has 64 divisors (see below), whose sum is σ = 100077120. Its totient is φ = 16576000.

The previous prime is 42102979. The next prime is 42103043. The reversal of 42103000 is 30124.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70704 + ... + 71296.

It is an arithmetic number, because the mean of its divisors is an integer number (1563705).

Almost surely, 242103000 is an apocalyptic number.

42103000 is a gapful number since it is divisible by the number (40) 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 42103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50038560).

42103000 is an abundant number, since it is smaller than the sum of its proper divisors (57974120).

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

42103000 is a wasteful number, since it uses less digits than its factorization.

42103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 42103000 is about 6488.6824548594. The cubic root of 42103000 is about 347.8865839066.

Adding to 42103000 its reverse (30124), we get a palindrome (42133124).

The spelling of 42103000 in words is "forty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 593 710 1000 1186 1420 1775 2372 2840 2965 3550 4744 5930 7100 8875 11860 14200 14825 17750 23720 29650 35500 42103 59300 71000 74125 84206 118600 148250 168412 210515 296500 336824 421030 593000 842060 1052575 1684120 2105150 4210300 5262875 8420600 10525750 21051500 42103000