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4129640 = 235176073
BaseRepresentation
bin1111110000001101101000
321202210210122
433300031220
52024122030
6224302412
750046524
oct17601550
97683718
104129640
112370729
121471a08
13b17898
14796d84
155688e5
hex3f0368

4129640 has 32 divisors (see below), whose sum is σ = 9839880. Its totient is φ = 1554432.

The previous prime is 4129637. The next prime is 4129649. The reversal of 4129640 is 469214.

4129640 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 4 ways, for example, as 4104676 + 24964 = 2026^2 + 158^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4129649) 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, 2357 + ... + 3716.

Almost surely, 24129640 is an apocalyptic number.

4129640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4129640 is an abundant number, since it is smaller than the sum of its proper divisors (5710240).

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

4129640 is a wasteful number, since it uses less digits than its factorization.

4129640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4129640 is about 2032.1515691503. The cubic root of 4129640 is about 160.4368271358.

The spelling of 4129640 in words is "four million, one hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6073 12146 24292 30365 48584 60730 103241 121460 206482 242920 412964 516205 825928 1032410 2064820 4129640