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421980 = 223513541
BaseRepresentation
bin1100111000001011100
3210102211220
41213001130
5102000410
613013340
73405156
oct1470134
9712756
10421980
11269049
12184250
1311a0c0
14adad6
1585070
hex6705c

421980 has 48 divisors (see below), whose sum is σ = 1274784. Its totient is φ = 103680.

The previous prime is 421973. The next prime is 421987. The reversal of 421980 is 89124.

It is an interprime number because it is at equal distance from previous prime (421973) and next prime (421987).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 421980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421987) by changing a digit.

421980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (26558).

2421980 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 421980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637392).

421980 is an abundant number, since it is smaller than the sum of its proper divisors (852804).

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

421980 is a wasteful number, since it uses less digits than its factorization.

421980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 421980 is about 649.5998768473. The cubic root of 421980 is about 75.0062217061.

The spelling of 421980 in words is "four hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 541 780 1082 1623 2164 2705 3246 5410 6492 7033 8115 10820 14066 16230 21099 28132 32460 35165 42198 70330 84396 105495 140660 210990 421980