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42111240 = 2335893943
BaseRepresentation
bin1010000010100…
…1000100001000
32221020110202120
42200221010020
541240024430
64102331240
71020640203
oct240510410
987213676
1042111240
1121852886
1212129b20
1389557c2
14584293a
153a6c610
hex2829108

42111240 has 64 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 11100672.

The previous prime is 42111211. The next prime is 42111247. The reversal of 42111240 is 4211124.

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

It is not an unprimeable number, because it can be changed into a prime (42111247) 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, 8709 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 242111240 is an apocalyptic number.

42111240 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 42111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).

42111240 is an abundant number, since it is smaller than the sum of its proper divisors (85674360).

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

42111240 is a wasteful number, since it uses less digits than its factorization.

42111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42111240 is about 6489.3173755026. The cubic root of 42111240 is about 347.9092774475.

Adding to 42111240 its reverse (4211124), we get a palindrome (46322364).

The spelling of 42111240 in words is "forty-two million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 3943 5340 7886 10680 11829 15772 19715 23658 31544 39430 47316 59145 78860 94632 118290 157720 236580 350927 473160 701854 1052781 1403708 1754635 2105562 2807416 3509270 4211124 5263905 7018540 8422248 10527810 14037080 21055620 42111240