Search a number
-
+
2025920 = 26513487
BaseRepresentation
bin111101110100111000000
310210221001002
413232213000
51004312140
6111231132
723135321
oct7564700
93727032
102025920
111164116
128184a8
1355c190
143aa448
152a0415
hex1ee9c0

2025920 has 56 divisors (see below), whose sum is σ = 5205984. Its totient is φ = 746496.

The previous prime is 2025917. The next prime is 2025923. The reversal of 2025920 is 295202.

It is an interprime number because it is at equal distance from previous prime (2025917) and next prime (2025923).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2025892 and 2025901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025923) 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, 3917 + ... + 4403.

It is an arithmetic number, because the mean of its divisors is an integer number (92964).

22025920 is an apocalyptic number.

2025920 is a gapful number since it is divisible by the number (20) 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 2025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602992).

2025920 is an abundant number, since it is smaller than the sum of its proper divisors (3180064).

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

2025920 is a wasteful number, since it uses less digits than its factorization.

2025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2025920 is about 1423.3481654184. The cubic root of 2025920 is about 126.5340563526.

It can be divided in two parts, 20 and 25920, that multiplied together give a square (518400 = 7202).

The spelling of 2025920 in words is "two million, twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 487 520 832 974 1040 1948 2080 2435 3896 4160 4870 6331 7792 9740 12662 15584 19480 25324 31168 31655 38960 50648 63310 77920 101296 126620 155840 202592 253240 405184 506480 1012960 2025920