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415361140 = 225236713477
BaseRepresentation
bin11000110000011…
…110100001110100
31001221120112100221
4120300132201310
51322313024030
6105114344124
713202340265
oct3060364164
91057515327
10415361140
111a3507a77
12b712b044
136808c42c
143d24296c
15266e9e7a
hex18c1e874

415361140 has 48 divisors (see below), whose sum is σ = 923836032. Its totient is φ = 156537216.

The previous prime is 415361129. The next prime is 415361189. The reversal of 415361140 is 41163514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24082 + ... + 37558.

It is an arithmetic number, because the mean of its divisors is an integer number (19246584).

Almost surely, 2415361140 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 415361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461918016).

415361140 is an abundant number, since it is smaller than the sum of its proper divisors (508474892).

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

415361140 is a wasteful number, since it uses less digits than its factorization.

415361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 415361140 is about 20380.4106926234. The cubic root of 415361140 is about 746.1198958203.

The spelling of 415361140 in words is "four hundred fifteen million, three hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 460 670 1340 1541 3082 6164 7705 13477 15410 26954 30820 53908 67385 134770 269540 309971 619942 902959 1239884 1549855 1805918 3099710 3611836 4514795 6199420 9029590 18059180 20768057 41536114 83072228 103840285 207680570 415361140