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4129520 = 245411259
BaseRepresentation
bin1111110000001011110000
321202210122012
433300023300
52024121040
6224302052
750046263
oct17601360
97683565
104129520
11237062a
121471928
13b17805
14796cda
15568865
hex3f02f0

4129520 has 40 divisors (see below), whose sum is σ = 9843120. Its totient is φ = 1610240.

The previous prime is 4129519. The next prime is 4129523. The reversal of 4129520 is 259214.

4129520 = T244 + T245 + ... + T339.

4129520 is nontrivially palindromic in base 15.

4129520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129523) 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 7 ways as a sum of consecutive naturals, for example, 2651 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 24129520 is an apocalyptic number.

4129520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560).

4129520 is an abundant number, since it is smaller than the sum of its proper divisors (5713600).

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

4129520 is a wasteful number, since it uses less digits than its factorization.

4129520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4129520 is about 2032.1220435791. The cubic root of 4129520 is about 160.4352731177.

The spelling of 4129520 in words is "four million, one hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1259 1640 2518 3280 5036 6295 10072 12590 20144 25180 50360 51619 100720 103238 206476 258095 412952 516190 825904 1032380 2064760 4129520