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415045020 = 2235134091301
BaseRepresentation
bin11000101111010…
…001010110011100
31001220222110201210
4120233101112130
51322222420040
6105103504420
713166552535
oct3057212634
91056873653
10415045020
111a3311515
12b6bb8110
1367cab590
143d19d68c
1526686480
hex18bd159c

415045020 has 96 divisors (see below), whose sum is σ = 1255544640. Its totient is φ = 101836800.

The previous prime is 415044991. The next prime is 415045039. The reversal of 415045020 is 20540514.

It is a congruent number.

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, 318370 + ... + 319670.

It is an arithmetic number, because the mean of its divisors is an integer number (13078590).

Almost surely, 2415045020 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 415045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627772320).

415045020 is an abundant number, since it is smaller than the sum of its proper divisors (840499620).

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

415045020 is a wasteful number, since it uses less digits than its factorization.

415045020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 415045020 is about 20372.6537299391. The cubic root of 415045020 is about 745.9305639671.

Adding to 415045020 its reverse (20540514), we get a palindrome (435585534).

The spelling of 415045020 in words is "four hundred fifteen million, forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 409 780 818 1227 1301 1636 2045 2454 2602 3903 4090 4908 5204 5317 6135 6505 7806 8180 10634 12270 13010 15612 15951 16913 19515 21268 24540 26020 26585 31902 33826 39030 50739 53170 63804 67652 78060 79755 84565 101478 106340 159510 169130 202956 253695 319020 338260 507390 532109 1014780 1064218 1596327 2128436 2660545 3192654 5321090 6385308 6917417 7981635 10642180 13834834 15963270 20752251 27669668 31926540 34587085 41504502 69174170 83009004 103761255 138348340 207522510 415045020