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42103410 = 2353783457
BaseRepresentation
bin1010000010011…
…1001001110010
32221020002000120
42200213021302
541234302120
64102231110
71020605316
oct240471162
987202016
1042103410
1121847a08
1212125496
13895207b
14583db46
153a6a140
hex2827272

42103410 has 64 divisors (see below), whose sum is σ = 105259392. Its totient is φ = 10768896.

The previous prime is 42103393. The next prime is 42103417. The reversal of 42103410 is 1430124.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42103410.

It is not an unprimeable number, because it can be changed into a prime (42103417) 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, 91902 + ... + 92358.

It is an arithmetic number, because the mean of its divisors is an integer number (1644678).

Almost surely, 242103410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42103410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52629696).

42103410 is an abundant number, since it is smaller than the sum of its proper divisors (63155982).

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

42103410 is a wasteful number, since it uses less digits than its factorization.

42103410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42103410 is about 6488.7140482533. The cubic root of 42103410 is about 347.8877131455.

Adding to 42103410 its reverse (1430124), we get a palindrome (43533534).

The spelling of 42103410 in words is "forty-two million, one hundred three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 83 111 166 185 222 249 370 415 457 498 555 830 914 1110 1245 1371 2285 2490 2742 3071 4570 6142 6855 9213 13710 15355 16909 18426 30710 33818 37931 46065 50727 75862 84545 92130 101454 113793 169090 189655 227586 253635 379310 507270 568965 1137930 1403447 2806894 4210341 7017235 8420682 14034470 21051705 42103410