Search a number
-
+
629720 = 235713173
BaseRepresentation
bin10011001101111011000
31011222210222
42121233120
5130122340
621255212
75231630
oct2315730
91158728
10629720
113a0133
12264508
13190820
141256c0
15c68b5
hex99bd8

629720 has 64 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 198144.

The previous prime is 629711. The next prime is 629723. The reversal of 629720 is 27926.

629720 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 66 + 211 + 75 + 96 + 215 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 629720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3554 + ... + 3726.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2629720 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 629720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

629720 is an abundant number, since it is smaller than the sum of its proper divisors (1124200).

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

629720 is a wasteful number, since it uses less digits than its factorization.

629720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 629720 is about 793.5489902961. The cubic root of 629720 is about 85.7134867650.

The spelling of 629720 in words is "six hundred twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 173 182 260 280 346 364 455 520 692 728 865 910 1211 1384 1730 1820 2249 2422 3460 3640 4498 4844 6055 6920 8996 9688 11245 12110 15743 17992 22490 24220 31486 44980 48440 62972 78715 89960 125944 157430 314860 629720