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420980 = 22573197
BaseRepresentation
bin1100110110001110100
3210101110212
41212301310
5101432410
613004552
73402230
oct1466164
9711425
10420980
1126831a
12183758
13119801
14ad5c0
1584b05
hex66c74

420980 has 48 divisors (see below), whose sum is σ = 1053696. Its totient is φ = 138240.

The previous prime is 420977. The next prime is 420997. The reversal of 420980 is 89024.

It is a congruent number.

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, 4292 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (21952).

2420980 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 420980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526848).

420980 is an abundant number, since it is smaller than the sum of its proper divisors (632716).

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

420980 is a wasteful number, since it uses less digits than its factorization.

420980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 420980 is about 648.8297157190. The cubic root of 420980 is about 74.9469254130.

The spelling of 420980 in words is "four hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 97 124 140 155 194 217 310 388 434 485 620 679 868 970 1085 1358 1940 2170 2716 3007 3395 4340 6014 6790 12028 13580 15035 21049 30070 42098 60140 84196 105245 210490 420980