Search a number
-
+
623920 = 24511709
BaseRepresentation
bin10011000010100110000
31011200212011
42120110300
5124431140
621212304
75206003
oct2302460
91150764
10623920
11396840
12261094
1318acab
1412353a
15c4cea
hex98530

623920 has 40 divisors (see below), whose sum is σ = 1584720. Its totient is φ = 226560.

The previous prime is 623893. The next prime is 623923. The reversal of 623920 is 29326.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 623891 and 623900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526 + ... + 1234.

It is an arithmetic number, because the mean of its divisors is an integer number (39618).

2623920 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 623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792360).

623920 is an abundant number, since it is smaller than the sum of its proper divisors (960800).

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

623920 is a wasteful number, since it uses less digits than its factorization.

623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 623920 is about 789.8860677338. The cubic root of 623920 is about 85.4495216329.

The spelling of 623920 in words is "six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 709 880 1418 2836 3545 5672 7090 7799 11344 14180 15598 28360 31196 38995 56720 62392 77990 124784 155980 311960 623920