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2025120 = 25354219
BaseRepresentation
bin111101110011010100000
310210212221110
413232122200
51004300440
6111223320
723133066
oct7563240
93725843
102025120
111163559
12817b40
1355b9c6
143aa036
152a0080
hex1ee6a0

2025120 has 48 divisors (see below), whose sum is σ = 6380640. Its totient is φ = 539904.

The previous prime is 2025109. The next prime is 2025131. The reversal of 2025120 is 215202.

It is an interprime number because it is at equal distance from previous prime (2025109) and next prime (2025131).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20251202 = 8202222028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2025096 and 2025105.

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 7 ways as a sum of consecutive naturals, for example, 1630 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (132930).

22025120 is an apocalyptic number.

2025120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2025120 is an abundant number, since it is smaller than the sum of its proper divisors (4355520).

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

2025120 is a wasteful number, since it uses less digits than its factorization.

2025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2025120 is about 1423.0671101533. The cubic root of 2025120 is about 126.5173988056.

It can be divided in two parts, 2025 and 120, that added together give a triangular number (2145 = T65).

The spelling of 2025120 in words is "two million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4219 8438 12657 16876 21095 25314 33752 42190 50628 63285 67504 84380 101256 126570 135008 168760 202512 253140 337520 405024 506280 675040 1012560 2025120