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42041120 = 2551123887
BaseRepresentation
bin1010000001011…
…1111100100000
32221002220120112
42200113330200
541230303440
64101030452
71020225602
oct240277440
987086515
1042041120
1121805130
12120b5428
13892c904
145825172
153a56965
hex2817f20

42041120 has 48 divisors (see below), whose sum is σ = 108355968. Its totient is φ = 15287040.

The previous prime is 42041107. The next prime is 42041141. The reversal of 42041120 is 2114024.

It is a junction number, because it is equal to n+sod(n) for n = 42041095 and 42041104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10184 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (2257416).

Almost surely, 242041120 is an apocalyptic number.

42041120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42041120 is an abundant number, since it is smaller than the sum of its proper divisors (66314848).

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

42041120 is a wasteful number, since it uses less digits than its factorization.

42041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23913 (or 23905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42041120 is about 6483.9123991615. The cubic root of 42041120 is about 347.7160673414.

Adding to 42041120 its reverse (2114024), we get a palindrome (44155144).

The spelling of 42041120 in words is "forty-two million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 23887 47774 95548 119435 191096 238870 262757 382192 477740 525514 764384 955480 1051028 1313785 1910960 2102056 2627570 3821920 4204112 5255140 8408224 10510280 21020560 42041120