Search a number
-
+
689472 = 2634719
BaseRepresentation
bin10101000010101000000
31022000210000
42220111000
5134030342
622440000
75601060
oct2502500
91260700
10689472
11431013
12293000
131b1a94
1413d3a0
15d944c
hexa8540

689472 has 140 divisors (see below), whose sum is σ = 2458720. Its totient is φ = 186624.

The previous prime is 689467. The next prime is 689509. The reversal of 689472 is 274986.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

689472 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 19 ways as a sum of consecutive naturals, for example, 36279 + ... + 36297.

2689472 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 689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229360).

689472 is an abundant number, since it is smaller than the sum of its proper divisors (1769248).

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

689472 is a wasteful number, since it uses less digits than its factorization.

689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 31 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 689472 is about 830.3445068163. The cubic root of 689472 is about 88.3430138515.

The spelling of 689472 in words is "six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 133 144 152 162 168 171 189 192 216 224 228 252 266 288 304 324 336 342 378 399 432 448 456 504 513 532 567 576 608 648 672 684 756 798 864 912 1008 1026 1064 1134 1197 1216 1296 1344 1368 1512 1539 1596 1728 1824 2016 2052 2128 2268 2394 2592 2736 3024 3078 3192 3591 3648 4032 4104 4256 4536 4788 5184 5472 6048 6156 6384 7182 8208 8512 9072 9576 10773 10944 12096 12312 12768 14364 16416 18144 19152 21546 24624 25536 28728 32832 36288 38304 43092 49248 57456 76608 86184 98496 114912 172368 229824 344736 689472