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415421080 = 235312101107
BaseRepresentation
bin11000110000101…
…101001010011000
31001221200120120221
4120300231022120
51322321433310
6105115525424
713203010114
oct3060551230
91057616527
10415421080
111a3549008
12b7159874
13680b07b9
143d25a744
152670cada
hex18c2d298

415421080 has 96 divisors (see below), whose sum is σ = 984499920. Its totient is φ = 157728000.

The previous prime is 415421063. The next prime is 415421119. The reversal of 415421080 is 80124514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3882387 + ... + 3882493.

Almost surely, 2415421080 is an apocalyptic number.

415421080 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 415421080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492249960).

415421080 is an abundant number, since it is smaller than the sum of its proper divisors (569078840).

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

415421080 is a wasteful number, since it uses less digits than its factorization.

415421080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 415421080 is about 20381.8811693131. The cubic root of 415421080 is about 746.1557844894.

Adding to 415421080 its reverse (80124514), we get a palindrome (495545594).

The spelling of 415421080 in words is "four hundred fifteen million, four hundred twenty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 107 124 155 202 214 248 310 404 428 505 535 620 808 856 961 1010 1070 1240 1922 2020 2140 3131 3317 3844 4040 4280 4805 6262 6634 7688 9610 10807 12524 13268 15655 16585 19220 21614 25048 26536 31310 33170 38440 43228 54035 62620 66340 86456 97061 102827 108070 125240 132680 194122 205654 216140 335017 388244 411308 432280 485305 514135 670034 776488 822616 970610 1028270 1340068 1675085 1941220 2056540 2680136 3350170 3882440 4113080 6700340 10385527 13400680 20771054 41542108 51927635 83084216 103855270 207710540 415421080