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420927840 = 2534532479
BaseRepresentation
bin11001000101101…
…101100101100000
31002100001100110000
4121011231211200
51330224142330
6105433540000
713300553604
oct3105554540
91070040400
10420927840
111a666a353
12b8b74600
136928b138
143dc91504
1526e49560
hex1916d960

420927840 has 120 divisors (see below), whose sum is σ = 1485570240. Its totient is φ = 112243968.

The previous prime is 420927839. The next prime is 420927863. The reversal of 420927840 is 48729024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4209278403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420927795 and 420927804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3280 + ... + 29199.

It is an arithmetic number, because the mean of its divisors is an integer number (12379752).

Almost surely, 2420927840 is an apocalyptic number.

420927840 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 420927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742785120).

420927840 is an abundant number, since it is smaller than the sum of its proper divisors (1064642400).

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

420927840 is a wasteful number, since it uses less digits than its factorization.

420927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32506 (or 32489 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 420927840 is about 20516.5260217221. The cubic root of 420927840 is about 749.4382994283.

The spelling of 420927840 in words is "four hundred twenty million, nine hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 32479 64958 97437 129916 162395 194874 259832 292311 324790 389748 487185 519664 584622 649580 779496 876933 974370 1039328 1169244 1299160 1461555 1558992 1753866 1948740 2338488 2598320 2630799 2923110 3117984 3507732 3897480 4384665 4676976 5196640 5261598 5846220 7015464 7794960 8769330 9353952 10523196 11692440 13153995 14030928 15589920 17538660 21046392 23384880 26307990 28061856 35077320 42092784 46769760 52615980 70154640 84185568 105231960 140309280 210463920 420927840