Search a number
-
+
629920 = 25531127
BaseRepresentation
bin10011001110010100000
31012000002101
42121302200
5130124140
621300144
75232334
oct2316240
91160071
10629920
113a02a5
12264654
13190945
141257c4
15c699a
hex99ca0

629920 has 48 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 241920.

The previous prime is 629903. The next prime is 629921. The reversal of 629920 is 29926.

629920 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (629921) 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, 4897 + ... + 5023.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2629920 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 629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

629920 is an abundant number, since it is smaller than the sum of its proper divisors (918368).

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

629920 is a wasteful number, since it uses less digits than its factorization.

629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 629920 is about 793.6749964564. The cubic root of 629920 is about 85.7225600478.

The spelling of 629920 in words is "six hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 127 155 160 248 254 310 496 508 620 635 992 1016 1240 1270 2032 2480 2540 3937 4064 4960 5080 7874 10160 15748 19685 20320 31496 39370 62992 78740 125984 157480 314960 629920