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4020414030 = 2325232836863
BaseRepresentation
bin1110111110100010…
…1010011001001110
3101101012010012020100
43233220222121032
531213211222110
61502535231530
7201425645463
oct35750523116
911335105210
104020414030
111783467626
129425185a6
134c0c1b419
142a1d4966a
15187e58bc0
hexefa2a64e

4020414030 has 96 divisors (see below), whose sum is σ = 10947695616. Its totient is φ = 1021724352.

The previous prime is 4020414029. The next prime is 4020414037. The reversal of 4020414030 is 304140204.

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 = 4020413994 and 4020414012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020414037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582379 + ... + 589241.

It is an arithmetic number, because the mean of its divisors is an integer number (114038496).

Almost surely, 24020414030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020414030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473847808).

4020414030 is an abundant number, since it is smaller than the sum of its proper divisors (6927281586).

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

4020414030 is a wasteful number, since it uses less digits than its factorization.

4020414030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4020414030 is about 63406.7348946466. The cubic root of 4020414030 is about 1590.0969087724.

Adding to 4020414030 its reverse (304140204), we get a palindrome (4324554234).

The spelling of 4020414030 in words is "four billion, twenty million, four hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 283 345 414 566 690 849 1035 1415 1698 2070 2547 2830 4245 5094 6509 6863 8490 12735 13018 13726 19527 20589 25470 32545 34315 39054 41178 58581 61767 65090 68630 97635 102945 117162 123534 157849 195270 205890 292905 308835 315698 473547 585810 617670 789245 947094 1420641 1578490 1942229 2367735 2841282 3884458 4735470 5826687 7103205 9711145 11653374 14206410 17480061 19422290 29133435 34960122 44671267 58266870 87400305 89342534 134013801 174800610 223356335 268027602 402041403 446712670 670069005 804082806 1340138010 2010207015 4020414030