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421134120 = 233351135449
BaseRepresentation
bin11001000110011…
…111111100101000
31002100102211102000
4121012133330220
51330302242440
6105442211000
713302403161
oct3106377450
91070384360
10421134120
111a67a0330
12b9053a60
1369330cb4
143dd06768
1526e8a730
hex1919ff28

421134120 has 128 divisors (see below), whose sum is σ = 1531440000. Its totient is φ = 102090240.

The previous prime is 421134113. The next prime is 421134139. The reversal of 421134120 is 21431124.

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 = 421134093 and 421134102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5845 + ... + 29604.

It is an arithmetic number, because the mean of its divisors is an integer number (11964375).

Almost surely, 2421134120 is an apocalyptic number.

421134120 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 421134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765720000).

421134120 is an abundant number, since it is smaller than the sum of its proper divisors (1110305880).

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

421134120 is a wasteful number, since it uses less digits than its factorization.

421134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35480 (or 35470 counting only the distinct ones).

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

The square root of 421134120 is about 20521.5525728440. The cubic root of 421134120 is about 749.5607027408.

Adding to 421134120 its reverse (21431124), we get a palindrome (442565244).

The spelling of 421134120 in words is "four hundred twenty-one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 35449 70898 106347 141796 177245 212694 283592 319041 354490 389939 425388 531735 638082 708980 779878 850776 957123 1063470 1169817 1276164 1417960 1559756 1595205 1914246 1949695 2126940 2339634 2552328 3119512 3190410 3509451 3828492 3899390 4253880 4679268 4785615 5849085 6380820 7018902 7656984 7798780 9358536 9571230 10528353 11698170 12761640 14037804 15597560 17547255 19142460 21056706 23396340 28075608 35094510 38284920 42113412 46792680 52641765 70189020 84226824 105283530 140378040 210567060 421134120