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405116580 = 223511613813
BaseRepresentation
bin11000001001011…
…001011010100100
31001020022001110210
4120021121122210
51312202212310
6104111015420
713016301621
oct3011313244
91036261423
10405116580
111987500a0
12b380a570
1365c1346b
143bb37348
1525874820
hex182596a4

405116580 has 48 divisors (see below), whose sum is σ = 1237449024. Its totient is φ = 98209920.

The previous prime is 405116563. The next prime is 405116581. The reversal of 405116580 is 85611504.

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

It is not an unprimeable number, because it can be changed into a prime (405116581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306247 + ... + 307566.

It is an arithmetic number, because the mean of its divisors is an integer number (25780188).

Almost surely, 2405116580 is an apocalyptic number.

It is an amenable number.

405116580 is an abundant number, since it is smaller than the sum of its proper divisors (832332444).

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

405116580 is a wasteful number, since it uses less digits than its factorization.

405116580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613836 (or 613834 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 405116580 is about 20127.5080424776. The cubic root of 405116580 is about 739.9346058599.

The spelling of 405116580 in words is "four hundred five million, one hundred sixteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 613813 1227626 1841439 2455252 3069065 3682878 6138130 6751943 7365756 9207195 12276260 13503886 18414390 20255829 27007772 33759715 36828780 40511658 67519430 81023316 101279145 135038860 202558290 405116580