Search a number
-
+
689416 = 23713947
BaseRepresentation
bin10101000010100001000
31022000200221
42220110020
5134030131
622435424
75600650
oct2502410
91260627
10689416
11430a72
12292b74
131b1a50
1413d360
15d9411
hexa8508

689416 has 32 divisors (see below), whose sum is σ = 1592640. Its totient is φ = 272448.

The previous prime is 689411. The next prime is 689431. The reversal of 689416 is 614986.

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (689411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (49770).

2689416 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 689416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796320).

689416 is an abundant number, since it is smaller than the sum of its proper divisors (903224).

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

689416 is a wasteful number, since it uses less digits than its factorization.

689416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 689416 is about 830.3107851883. The cubic root of 689416 is about 88.3406220005.

The spelling of 689416 in words is "six hundred eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 947 1894 3788 6629 7576 12311 13258 24622 26516 49244 53032 86177 98488 172354 344708 689416