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690928 = 24731199
BaseRepresentation
bin10101000101011110000
31022002202221
42220223300
5134102203
622450424
75605240
oct2505360
91262687
10690928
11432117
12293a14
131b2644
1413db20
15d9abd
hexa8af0

690928 has 40 divisors (see below), whose sum is σ = 1587200. Its totient is φ = 285120.

The previous prime is 690919. The next prime is 690929. The reversal of 690928 is 829096.

It is a junction number, because it is equal to n+sod(n) for n = 690893 and 690902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690929) 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, 3373 + ... + 3571.

It is an arithmetic number, because the mean of its divisors is an integer number (39680).

2690928 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 690928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793600).

690928 is an abundant number, since it is smaller than the sum of its proper divisors (896272).

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

690928 is a wasteful number, since it uses less digits than its factorization.

690928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 690928 is about 831.2207889604. The cubic root of 690928 is about 88.4051565688.

The spelling of 690928 in words is "six hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 199 217 248 398 434 496 796 868 1393 1592 1736 2786 3184 3472 5572 6169 11144 12338 22288 24676 43183 49352 86366 98704 172732 345464 690928