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420660 = 223351941
BaseRepresentation
bin1100110101100110100
3210101001000
41212230310
5101430120
613003300
73401262
oct1465464
9711030
10420660
11268059
12183530
13119616
14ad432
1584990
hex66b34

420660 has 96 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 103680.

The previous prime is 420613. The next prime is 420671. The reversal of 420660 is 66024.

420660 is a `hidden beast` number, since 4 + 2 + 0 + 660 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

420660 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 31 ways as a sum of consecutive naturals, for example, 10240 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2420660 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 420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

420660 is an abundant number, since it is smaller than the sum of its proper divisors (990540).

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

420660 is a wasteful number, since it uses less digits than its factorization.

420660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420660 is about 648.5830710094. The cubic root of 420660 is about 74.9279307692.

Adding to 420660 its reverse (66024), we get a palindrome (486684).

The spelling of 420660 in words is "four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 41 45 54 57 60 76 82 90 95 108 114 123 135 164 171 180 190 205 228 246 270 285 342 369 380 410 492 513 540 570 615 684 738 779 820 855 1026 1107 1140 1230 1476 1558 1710 1845 2052 2214 2337 2460 2565 3116 3420 3690 3895 4428 4674 5130 5535 7011 7380 7790 9348 10260 11070 11685 14022 15580 21033 22140 23370 28044 35055 42066 46740 70110 84132 105165 140220 210330 420660