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415379136 = 26310720219
BaseRepresentation
bin11000110000100…
…010111011000000
31001221121110001110
4120300202323000
51322314113021
6105115003320
713202443614
oct3060427300
91057543043
10415379136
111a351a547
12b7139540
1368097693
143d249344
1526700476
hex18c22ec0

415379136 has 56 divisors (see below), whose sum is σ = 1109350080. Its totient is φ = 137158912.

The previous prime is 415379099. The next prime is 415379161. The reversal of 415379136 is 631973514.

It is a junction number, because it is equal to n+sod(n) for n = 415379094 and 415379103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10435 + ... + 30653.

Almost surely, 2415379136 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 415379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554675040).

415379136 is an abundant number, since it is smaller than the sum of its proper divisors (693970944).

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

415379136 is a wasteful number, since it uses less digits than its factorization.

415379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20341 (or 20331 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 415379136 is about 20380.8521902299. The cubic root of 415379136 is about 746.1306711661.

The spelling of 415379136 in words is "four hundred fifteen million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10272 20219 20544 40438 60657 80876 121314 161752 242628 323504 485256 647008 970512 1294016 1941024 2163433 3882048 4326866 6490299 8653732 12980598 17307464 25961196 34614928 51922392 69229856 103844784 138459712 207689568 415379136