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406308980 = 225721137691
BaseRepresentation
bin11000001101111…
…100100001110100
31001022112122010202
4120031330201310
51313003341410
6104152340032
713032366200
oct3015744164
91038478122
10406308980
11199394a50
12b40a4618
136624011c
143bd67b00
1525a0cca5
hex1837c874

406308980 has 72 divisors (see below), whose sum is σ = 1082815776. Its totient is φ = 126638400.

The previous prime is 406308979. The next prime is 406308989. The reversal of 406308980 is 89803604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406308989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8066 + ... + 29625.

It is an arithmetic number, because the mean of its divisors is an integer number (15039108).

Almost surely, 2406308980 is an apocalyptic number.

It is an amenable number.

406308980 is an abundant number, since it is smaller than the sum of its proper divisors (676506796).

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

406308980 is a wasteful number, since it uses less digits than its factorization.

406308980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37725 (or 37716 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 406308980 is about 20157.1074313752. The cubic root of 406308980 is about 740.6598570122.

The spelling of 406308980 in words is "four hundred six million, three hundred eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 37691 75382 150764 188455 263837 376910 414601 527674 753820 829202 1055348 1319185 1658404 1846859 2073005 2638370 2902207 3693718 4146010 5276740 5804414 7387436 8292020 9234295 11608828 14511035 18468590 20315449 29022070 36937180 40630898 58044140 81261796 101577245 203154490 406308980