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2125020 = 2235107331
BaseRepresentation
bin1000000110110011011100
310222221222110
420012303130
51021000040
6113314020
724030252
oct10066334
93887873
102125020
111221617
12865910
13595311
143d45d2
152be980
hex206cdc

2125020 has 48 divisors (see below), whose sum is σ = 6023808. Its totient is φ = 559680.

The previous prime is 2125009. The next prime is 2125037. The reversal of 2125020 is 205212.

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 = 2124987 and 2125005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6255 + ... + 6585.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

22125020 is an apocalyptic number.

2125020 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 2125020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011904).

2125020 is an abundant number, since it is smaller than the sum of its proper divisors (3898788).

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

2125020 is a wasteful number, since it uses less digits than its factorization.

2125020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

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

The square root of 2125020 is about 1457.7448336386. The cubic root of 2125020 is about 128.5644828699.

The spelling of 2125020 in words is "two million, one hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 331 428 535 642 662 993 1070 1284 1324 1605 1655 1986 2140 3210 3310 3972 4965 6420 6620 9930 19860 35417 70834 106251 141668 177085 212502 354170 425004 531255 708340 1062510 2125020