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2120625 = 32541329
BaseRepresentation
bin1000000101101110110001
310222201221200
420011232301
51020330000
6113241413
724011403
oct10055661
93881850
102120625
111219291
12863269
13593310
143d2b73
152bd500
hex205bb1

2120625 has 60 divisors (see below), whose sum is σ = 4264260. Its totient is φ = 1008000.

The previous prime is 2120621. The next prime is 2120639. The reversal of 2120625 is 5260212.

2120625 is a `hidden beast` number, since 21 + 20 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1912689 + 207936 = 1383^2 + 456^2 .

It is not a de Polignac number, because 2120625 - 22 = 2120621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120598 and 2120607.

It is not an unprimeable number, because it can be changed into a prime (2120621) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73111 + ... + 73139.

It is an arithmetic number, because the mean of its divisors is an integer number (71071).

22120625 is an apocalyptic number.

2120625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2120625 is an abundant number, since it is smaller than the sum of its proper divisors (2143635).

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

2120625 is a wasteful number, since it uses less digits than its factorization.

2120625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2120625 is about 1456.2365879211. The cubic root of 2120625 is about 128.4757886627.

Adding to 2120625 its reverse (5260212), we get a palindrome (7380837).

The spelling of 2120625 in words is "two million, one hundred twenty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 125 145 195 225 261 325 375 377 435 585 625 725 975 1125 1131 1305 1625 1875 1885 2175 2925 3393 3625 4875 5625 5655 6525 8125 9425 10875 14625 16965 18125 24375 28275 32625 47125 54375 73125 84825 141375 163125 235625 424125 706875 2120625