Search a number
-
+
4012452120 = 2335234333809
BaseRepresentation
bin1110111100101001…
…0010100100011000
3101100122010200112210
43233022102210120
531204141431440
61502052435120
7201301165065
oct35712224430
911318120483
104012452120
111779a19736
1293b918aa0
134bc391431
142a0c75c6c
151873d4a80
hexef292918

4012452120 has 128 divisors (see below), whose sum is σ = 12853209600. Its totient is φ = 999634944.

The previous prime is 4012452113. The next prime is 4012452121. The reversal of 4012452120 is 212542104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012452121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101776 + ... + 135584.

It is an arithmetic number, because the mean of its divisors is an integer number (100415700).

Almost surely, 24012452120 is an apocalyptic number.

4012452120 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 4012452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426604800).

4012452120 is an abundant number, since it is smaller than the sum of its proper divisors (8840757480).

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

4012452120 is a wasteful number, since it uses less digits than its factorization.

4012452120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33889 (or 33885 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4012452120 is about 63343.9193608984. The cubic root of 4012452120 is about 1589.0465546801.

Adding to 4012452120 its reverse (212542104), we get a palindrome (4224994224).

The spelling of 4012452120 in words is "four billion, twelve million, four hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 215 230 258 276 344 345 430 460 516 552 645 690 860 920 989 1032 1290 1380 1720 1978 2580 2760 2967 3956 4945 5160 5934 7912 9890 11868 14835 19780 23736 29670 33809 39560 59340 67618 101427 118680 135236 169045 202854 270472 338090 405708 507135 676180 777607 811416 1014270 1352360 1453787 1555214 2028540 2332821 2907574 3110428 3888035 4057080 4361361 4665642 5815148 6220856 7268935 7776070 8722722 9331284 11630296 11664105 14537870 15552140 17445444 18662568 21806805 23328210 29075740 31104280 33437101 34890888 43613610 46656420 58151480 66874202 87227220 93312840 100311303 133748404 167185505 174454440 200622606 267496808 334371010 401245212 501556515 668742020 802490424 1003113030 1337484040 2006226060 4012452120