Search a number
-
+
42103040 = 285737127
BaseRepresentation
bin1010000010011…
…1000100000000
32221020001111212
42200213010000
541234244130
64102225252
71020604250
oct240470400
987201455
1042103040
1121847701
1212125228
138951b55
14583d960
153a69e95
hex2827100

42103040 has 144 divisors (see below), whose sum is σ = 119304192. Its totient is φ = 13934592.

The previous prime is 42102979. The next prime is 42103043. The reversal of 42103040 is 4030124.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (42103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331457 + ... + 331583.

Almost surely, 242103040 is an apocalyptic number.

42103040 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 42103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59652096).

42103040 is an abundant number, since it is smaller than the sum of its proper divisors (77201152).

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

42103040 is a wasteful number, since it uses less digits than its factorization.

42103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42103040 is about 6488.6855371485. The cubic root of 42103040 is about 347.8866940766.

Adding to 42103040 its reverse (4030124), we get a palindrome (46133164).

The spelling of 42103040 in words is "forty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 127 128 140 148 160 185 224 254 256 259 280 296 320 370 448 508 518 560 592 635 640 740 889 896 1016 1036 1120 1184 1270 1280 1295 1480 1778 1792 2032 2072 2240 2368 2540 2590 2960 3556 4064 4144 4445 4480 4699 4736 5080 5180 5920 7112 8128 8288 8890 8960 9398 9472 10160 10360 11840 14224 16256 16576 17780 18796 20320 20720 23495 23680 28448 32512 32893 33152 35560 37592 40640 41440 46990 47360 56896 65786 66304 71120 75184 81280 82880 93980 113792 131572 142240 150368 162560 164465 165760 187960 227584 263144 284480 300736 328930 331520 375920 526288 568960 601472 657860 751840 1052576 1137920 1202944 1315720 1503680 2105152 2631440 3007360 4210304 5262880 6014720 8420608 10525760 21051520 42103040