Search a number
-
+
4520021000 = 235311676133
BaseRepresentation
bin1000011010110101…
…00000110000001000
3102200000012212011012
410031122200300020
533224111133000
62024303423052
7220003354535
oct41532406010
912600185135
104520021000
111a0a485750
12a618b4a88
13570596651
1430c43bd8c
151b6c45735
hex10d6a0c08

4520021000 has 128 divisors (see below), whose sum is σ = 11712504960. Its totient is φ = 1618848000.

The previous prime is 4520020991. The next prime is 4520021003. The reversal of 4520021000 is 1200254.

It is not an unprimeable number, because it can be changed into a prime (4520021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733934 + ... + 740066.

It is an arithmetic number, because the mean of its divisors is an integer number (91503945).

Almost surely, 24520021000 is an apocalyptic number.

4520021000 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 4520021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856252480).

4520021000 is an abundant number, since it is smaller than the sum of its proper divisors (7192483960).

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

4520021000 is a wasteful number, since it uses less digits than its factorization.

4520021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4520021000 is about 67231.1014337858. The cubic root of 4520021000 is about 1653.4084424703.

Adding to 4520021000 its reverse (1200254), we get a palindrome (4521221254).

The spelling of 4520021000 in words is "four billion, five hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 125 134 200 220 250 268 275 335 440 500 536 550 670 737 1000 1100 1340 1375 1474 1675 2200 2680 2750 2948 3350 3685 5500 5896 6133 6700 7370 8375 11000 12266 13400 14740 16750 18425 24532 29480 30665 33500 36850 49064 61330 67000 67463 73700 92125 122660 134926 147400 153325 184250 245320 269852 306650 337315 368500 410911 539704 613300 674630 737000 766625 821822 1226600 1349260 1533250 1643644 1686575 2054555 2698520 3066500 3287288 3373150 4109110 4520021 6133000 6746300 8218220 8432875 9040042 10272775 13492600 16436440 16865750 18080084 20545550 22600105 33731500 36160168 41091100 45200210 51363875 67463000 82182200 90400420 102727750 113000525 180800840 205455500 226001050 410911000 452002100 565002625 904004200 1130005250 2260010500 4520021000