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42030030 = 2357263761
BaseRepresentation
bin1010000001010…
…1001111001110
32221002100100210
42200111033032
541224430110
64100503250
71020151350
oct240251716
987070323
1042030030
11217a7869
12120aab26
138927853
1458210d0
153a53520
hex28153ce

42030030 has 64 divisors (see below), whose sum is σ = 115872768. Its totient is φ = 9557760.

The previous prime is 42029989. The next prime is 42030031. The reversal of 42030030 is 3003024.

It is a junction number, because it is equal to n+sod(n) for n = 42029988 and 42030015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54850 + ... + 55610.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 242030030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936384).

42030030 is an abundant number, since it is smaller than the sum of its proper divisors (73842738).

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

42030030 is a wasteful number, since it uses less digits than its factorization.

42030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 42030030 is about 6483.0571492159. The cubic root of 42030030 is about 347.6854900534.

Adding to 42030030 its reverse (3003024), we get a palindrome (45033054).

The spelling of 42030030 in words is "forty-two million, thirty thousand, thirty", and thus it is an eban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 263 526 761 789 1315 1522 1578 1841 2283 2630 3682 3805 3945 4566 5327 5523 7610 7890 9205 10654 11046 11415 15981 18410 22830 26635 27615 31962 53270 55230 79905 159810 200143 400286 600429 1000715 1200858 1401001 2001430 2802002 3002145 4203003 6004290 7005005 8406006 14010010 21015015 42030030