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415375140 = 223560111519
BaseRepresentation
bin11000110000100…
…001111100100100
31001221121020120110
4120300201330210
51322314001030
6105114533020
713202426145
oct3060417444
91057536513
10415375140
111a3517544
12b7137170
136809590b
143d247acc
15266ee1b0
hex18c21f24

415375140 has 48 divisors (see below), whose sum is σ = 1165086720. Its totient is φ = 110572800.

The previous prime is 415375139. The next prime is 415375157. The reversal of 415375140 is 41573514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 415375098 and 415375107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30301 + ... + 41819.

It is an arithmetic number, because the mean of its divisors is an integer number (24272640).

Almost surely, 2415375140 is an apocalyptic number.

It is an amenable number.

415375140 is an abundant number, since it is smaller than the sum of its proper divisors (749711580).

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

415375140 is a wasteful number, since it uses less digits than its factorization.

415375140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 415375140 is about 20380.7541568020. The cubic root of 415375140 is about 746.1282785345.

The spelling of 415375140 in words is "four hundred fifteen million, three hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 601 1202 1803 2404 3005 3606 6010 7212 9015 11519 12020 18030 23038 34557 36060 46076 57595 69114 115190 138228 172785 230380 345570 691140 6922919 13845838 20768757 27691676 34614595 41537514 69229190 83075028 103843785 138458380 207687570 415375140