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42003060 = 223511232767
BaseRepresentation
bin1010000000111…
…0101001110100
32221000222100220
42200032221310
541223044220
64100134340
71020006621
oct240165164
987028326
1042003060
1121789580
12120973b0
1389184a8
145815348
153a4a540
hex280ea74

42003060 has 96 divisors (see below), whose sum is σ = 133926912. Its totient is φ = 9736320.

The previous prime is 42003023. The next prime is 42003061. The reversal of 42003060 is 6030024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42003061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13797 + ... + 16563.

It is an arithmetic number, because the mean of its divisors is an integer number (1395072).

Almost surely, 242003060 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 42003060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66963456).

42003060 is an abundant number, since it is smaller than the sum of its proper divisors (91923852).

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

42003060 is a wasteful number, since it uses less digits than its factorization.

42003060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42003060 is about 6480.9767782334. The cubic root of 42003060 is about 347.6111060626.

Adding to 42003060 its reverse (6030024), we get a palindrome (48033084).

It can be divided in two parts, 4200 and 3060, that added together give a triangular number (7260 = T120).

The spelling of 42003060 in words is "forty-two million, three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 2767 3036 3795 5060 5534 7590 8301 11068 13835 15180 16602 27670 30437 33204 41505 55340 60874 63641 83010 91311 121748 127282 152185 166020 182622 190923 254564 304370 318205 365244 381846 456555 608740 636410 700051 763692 913110 954615 1272820 1400102 1826220 1909230 2100153 2800204 3500255 3818460 4200306 7000510 8400612 10500765 14001020 21001530 42003060