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42000300 = 223252232029
BaseRepresentation
bin1010000000110…
…1111110101100
32221000211120200
42200031332230
541223002200
64100113500
71016665566
oct240157654
987024520
1042000300
11217874a1
1212095890
138917164
145814336
153a49800
hex280dfac

42000300 has 108 divisors (see below), whose sum is σ = 137439120. Its totient is φ = 10707840.

The previous prime is 42000289. The next prime is 42000349. The reversal of 42000300 is 300024.

42000300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 19686 + ... + 21714.

Almost surely, 242000300 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 42000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68719560).

42000300 is an abundant number, since it is smaller than the sum of its proper divisors (95438820).

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

42000300 is a wasteful number, since it uses less digits than its factorization.

42000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 42000300 is about 6480.7638438690. The cubic root of 42000300 is about 347.6034921121.

Adding to 42000300 its reverse (300024), we get a palindrome (42300324).

The spelling of 42000300 in words is "forty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2029 2070 2300 3450 4058 4140 5175 6087 6900 8116 10145 10350 12174 18261 20290 20700 24348 30435 36522 40580 46667 50725 60870 73044 91305 93334 101450 121740 140001 152175 182610 186668 202900 233335 280002 304350 365220 420003 456525 466670 560004 608700 700005 840006 913050 933340 1166675 1400010 1680012 1826100 2100015 2333350 2800020 3500025 4200030 4666700 7000050 8400060 10500075 14000100 21000150 42000300