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421114320 = 243251153171
BaseRepresentation
bin11001000110011…
…011000111010000
31002100101211020200
4121012123013100
51330301124240
6105441535200
713302261354
oct3106330720
91070354220
10421114320
111a6787470
12b9044500
1369324c93
143dcdd464
1526e84930
hex1919b1d0

421114320 has 120 divisors (see below), whose sum is σ = 1542838752. Its totient is φ = 102086400.

The previous prime is 421114301. The next prime is 421114373. The reversal of 421114320 is 23411124.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 421114293 and 421114302.

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 23 ways as a sum of consecutive naturals, for example, 18666 + ... + 34505.

Almost surely, 2421114320 is an apocalyptic number.

421114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421114320 is an abundant number, since it is smaller than the sum of its proper divisors (1121724432).

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

421114320 is a wasteful number, since it uses less digits than its factorization.

421114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53201 (or 53192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 421114320 is about 20521.0701475337. The cubic root of 421114320 is about 749.5489554661.

Adding to 421114320 its reverse (23411124), we get a palindrome (444525444).

The spelling of 421114320 in words is "four hundred twenty-one million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 53171 106342 159513 212684 265855 319026 425368 478539 531710 584881 638052 797565 850736 957078 1063420 1169762 1276104 1595130 1754643 1914156 2126840 2339524 2392695 2552208 2924405 3190260 3509286 3828312 4253680 4679048 4785390 5263929 5848810 6380520 7018572 7656624 8773215 9358096 9570780 10527858 11697620 12761040 14037144 17546430 19141560 21055716 23395240 26319645 28074288 35092860 38283120 42111432 46790480 52639290 70185720 84222864 105278580 140371440 210557160 421114320