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475020 = 2232571329
BaseRepresentation
bin1110011111110001100
3220010121100
41303332030
5110200040
614103100
74015620
oct1637614
9803540
10475020
112a4987
121aaa90
131382a0
14c5180
1595b30
hex73f8c

475020 has 144 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 96768.

The previous prime is 474983. The next prime is 475037. The reversal of 475020 is 20574.

It is a happy number.

475020 is a nontrivial binomial coefficient, being equal to C(29, 6).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 474984 and 475002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16366 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2475020 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 475020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

475020 is an abundant number, since it is smaller than the sum of its proper divisors (1359540).

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

475020 is a wasteful number, since it uses less digits than its factorization.

475020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 475020 is about 689.2169469768. The cubic root of 475020 is about 78.0256326013.

Adding to 475020 its reverse (20574), we get a palindrome (495594).

The spelling of 475020 in words is "four hundred seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 29 30 35 36 39 42 45 52 58 60 63 65 70 78 84 87 90 91 105 116 117 126 130 140 145 156 174 180 182 195 203 210 234 252 260 261 273 290 315 348 364 377 390 406 420 435 455 468 522 546 580 585 609 630 754 780 812 819 870 910 1015 1044 1092 1131 1170 1218 1260 1305 1365 1508 1638 1740 1820 1827 1885 2030 2262 2340 2436 2610 2639 2730 3045 3276 3393 3654 3770 4060 4095 4524 5220 5278 5460 5655 6090 6786 7308 7540 7917 8190 9135 10556 11310 12180 13195 13572 15834 16380 16965 18270 22620 23751 26390 31668 33930 36540 39585 47502 52780 67860 79170 95004 118755 158340 237510 475020