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2485120 = 27511353
BaseRepresentation
bin1001011110101110000000
311200020221111
421132232000
51114010440
6125133104
730060151
oct11365600
94606844
102485120
111448120
129ba194
136901b1
14489928
153414ea
hex25eb80

2485120 has 64 divisors (see below), whose sum is σ = 6499440. Its totient is φ = 901120.

The previous prime is 2485073. The next prime is 2485121. The reversal of 2485120 is 215842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2485091 and 2485100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6864 + ... + 7216.

22485120 is an apocalyptic number.

2485120 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 2485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249720).

2485120 is an abundant number, since it is smaller than the sum of its proper divisors (4014320).

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

2485120 is a wasteful number, since it uses less digits than its factorization.

2485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2485120 is about 1576.4263382727. The cubic root of 2485120 is about 135.4510745965.

2485120 divided by its product of nonzero digits (640) gives a palindrome (3883).

The spelling of 2485120 in words is "two million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 353 440 640 704 706 880 1408 1412 1760 1765 2824 3520 3530 3883 5648 7040 7060 7766 11296 14120 15532 19415 22592 28240 31064 38830 45184 56480 62128 77660 112960 124256 155320 225920 248512 310640 497024 621280 1242560 2485120