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4036413420 = 22325139191877
BaseRepresentation
bin1111000010010110…
…1100011111101100
3101102022020001021100
43300211230133230
531231310212140
61504310203100
7202011643104
oct36045543754
911368201240
104036413420
1117914a5166
12947953490
134c4330910
142a4112204
15189569530
hexf096c7ec

4036413420 has 144 divisors (see below), whose sum is σ = 13206997440. Its totient is φ = 991968768.

The previous prime is 4036413419. The next prime is 4036413431. The reversal of 4036413420 is 243146304.

It is a super-3 number, since 3×40364134203 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149522 + ... + 2151398.

It is an arithmetic number, because the mean of its divisors is an integer number (91715260).

Almost surely, 24036413420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4036413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603498720).

4036413420 is an abundant number, since it is smaller than the sum of its proper divisors (9170584020).

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

4036413420 is a wasteful number, since it uses less digits than its factorization.

4036413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4036413420 is about 63532.7743766947. The cubic root of 4036413420 is about 1592.2034005875.

Adding to 4036413420 its reverse (243146304), we get a palindrome (4279559724).

The spelling of 4036413420 in words is "four billion, thirty-six million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 919 1170 1838 1877 2340 2757 3676 3754 4595 5514 5631 7508 8271 9190 9385 11028 11262 11947 13785 16542 16893 18380 18770 22524 23894 24401 27570 28155 33084 33786 35841 37540 41355 47788 48802 55140 56310 59735 67572 71682 73203 82710 84465 97604 107523 112620 119470 122005 143364 146406 165420 168930 179205 215046 219609 238940 244010 292812 337860 358410 366015 430092 439218 488020 537615 716820 732030 878436 1075230 1098045 1464060 1724963 2150460 2196090 3449926 4392180 5174889 6899852 8624815 10349778 15524667 17249630 20699556 22424519 25874445 31049334 34499260 44849038 51748890 62098668 67273557 77623335 89698076 103497780 112122595 134547114 155246670 201820671 224245190 269094228 310493340 336367785 403641342 448490380 672735570 807282684 1009103355 1345471140 2018206710 4036413420