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421354120 = 235111496427
BaseRepresentation
bin11001000111010…
…101101010001000
31002100212000012011
4121013111222020
51330331312440
6105451025304
713304310445
oct3107255210
91070760164
10421354120
111a6930650
12b913b234
13693aa185
143dd629cc
1526ed09ea
hex191d5a88

421354120 has 64 divisors (see below), whose sum is σ = 1041336000. Its totient is φ = 152167680.

The previous prime is 421354117. The next prime is 421354121. The reversal of 421354120 is 21453124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 421354091 and 421354100.

It is not an unprimeable number, because it can be changed into a prime (421354121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62347 + ... + 68773.

It is an arithmetic number, because the mean of its divisors is an integer number (16270875).

Almost surely, 2421354120 is an apocalyptic number.

421354120 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 421354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520668000).

421354120 is an abundant number, since it is smaller than the sum of its proper divisors (619981880).

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

421354120 is a wasteful number, since it uses less digits than its factorization.

421354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 421354120 is about 20526.9120912036. The cubic root of 421354120 is about 749.6912032472.

The spelling of 421354120 in words is "four hundred twenty-one million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2980 3278 5960 6427 6556 8195 12854 13112 16390 25708 32135 32780 51416 64270 65560 70697 128540 141394 257080 282788 353485 565576 706970 957623 1413940 1915246 2827880 3830492 4788115 7660984 9576230 10533853 19152460 21067706 38304920 42135412 52669265 84270824 105338530 210677060 421354120