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4129700 = 225261677
BaseRepresentation
bin1111110000001110100100
321202210212212
433300032210
52024122300
6224302552
750046641
oct17601644
97683785
104129700
112370783
121471a58
13b17913
14796dc8
15568935
hex3f03a4

4129700 has 36 divisors (see below), whose sum is σ = 9121812. Its totient is φ = 1622400.

The previous prime is 4129667. The next prime is 4129721. The reversal of 4129700 is 79214.

4129700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33124 + 4096576 = 182^2 + 2024^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5762 + ... + 6438.

Almost surely, 24129700 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 4129700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560906).

4129700 is an abundant number, since it is smaller than the sum of its proper divisors (4992112).

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

4129700 is a wasteful number, since it uses less digits than its factorization.

4129700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 4129700 is about 2032.1663317750. The cubic root of 4129700 is about 160.4376041336.

The spelling of 4129700 in words is "four million, one hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 677 1220 1354 1525 2708 3050 3385 6100 6770 13540 16925 33850 41297 67700 82594 165188 206485 412970 825940 1032425 2064850 4129700