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42104240 = 2451783373
BaseRepresentation
bin1010000010011…
…1010110110000
32221020010011022
42200213112300
541234313430
64102235012
71020610613
oct240472660
987203138
1042104240
11218485a2
1212125a68
138952569
14584017a
153a6a4e5
hex28275b0

42104240 has 80 divisors (see below), whose sum is σ = 105180768. Its totient is φ = 15618048.

The previous prime is 42104239. The next prime is 42104243. The reversal of 42104240 is 4240124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (42104243) 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 15 ways as a sum of consecutive naturals, for example, 112694 + ... + 113066.

Almost surely, 242104240 is an apocalyptic number.

42104240 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 42104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384).

42104240 is an abundant number, since it is smaller than the sum of its proper divisors (63076528).

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

42104240 is a wasteful number, since it uses less digits than its factorization.

42104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42104240 is about 6488.7780051409. The cubic root of 42104240 is about 347.8899991433.

Adding to 42104240 its reverse (4240124), we get a palindrome (46344364).

The spelling of 42104240 in words is "forty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 136 166 170 272 332 340 373 415 664 680 746 830 1328 1360 1411 1492 1660 1865 2822 2984 3320 3730 5644 5968 6341 6640 7055 7460 11288 12682 14110 14920 22576 25364 28220 29840 30959 31705 50728 56440 61918 63410 101456 112880 123836 126820 154795 247672 253640 309590 495344 507280 526303 619180 1052606 1238360 2105212 2476720 2631515 4210424 5263030 8420848 10526060 21052120 42104240