Search a number
-
+
470400 = 2735272
BaseRepresentation
bin1110010110110000000
3212220021020
41302312000
5110023100
614025440
73666300
oct1626600
9786236
10470400
112a1467
121a8280
13136158
14c3600
15945a0
hex72d80

470400 has 144 divisors (see below), whose sum is σ = 1802340. Its totient is φ = 107520.

The previous prime is 470399. The next prime is 470411. The reversal of 470400 is 4074.

Adding to 470400 its reverse (4074), we get a palindrome (474474).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 470400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67197 + ... + 67203.

2470400 is an apocalyptic number.

470400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901170).

470400 is an abundant number, since it is smaller than the sum of its proper divisors (1331940).

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

470400 is a wasteful number, since it uses less digits than its factorization.

470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 470400 is about 685.8571279793. The cubic root of 470400 is about 77.7718514003.

The spelling of 470400 in words is "four hundred seventy thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 350 384 392 400 420 448 480 490 525 560 588 600 640 672 700 735 784 800 840 896 960 980 1050 1120 1176 1200 1225 1344 1400 1470 1568 1600 1680 1920 1960 2100 2240 2352 2400 2450 2688 2800 2940 3136 3200 3360 3675 3920 4200 4480 4704 4800 4900 5600 5880 6272 6720 7350 7840 8400 9408 9600 9800 11200 11760 13440 14700 15680 16800 18816 19600 22400 23520 29400 31360 33600 39200 47040 58800 67200 78400 94080 117600 156800 235200 470400