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2125032 = 2337213139
BaseRepresentation
bin1000000110110011101000
310222221222220
420012303220
51021000112
6113314040
724030300
oct10066350
93887886
102125032
111221628
12865920
13595320
143d4600
152be98c
hex206ce8

2125032 has 96 divisors (see below), whose sum is σ = 6703200. Its totient is φ = 556416.

The previous prime is 2125009. The next prime is 2125037. The reversal of 2125032 is 2305212.

It is a super-2 number, since 2×21250322 = 9031522002048, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2125037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15219 + ... + 15357.

It is an arithmetic number, because the mean of its divisors is an integer number (69825).

22125032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600).

2125032 is an abundant number, since it is smaller than the sum of its proper divisors (4578168).

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

2125032 is a wasteful number, since it uses less digits than its factorization.

2125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2125032 is about 1457.7489495795. The cubic root of 2125032 is about 128.5647248709.

The spelling of 2125032 in words is "two million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 139 147 156 168 182 196 273 278 294 312 364 392 417 546 556 588 637 728 834 973 1092 1112 1176 1274 1668 1807 1911 1946 2184 2548 2919 3336 3614 3822 3892 5096 5421 5838 6811 7228 7644 7784 10842 11676 12649 13622 14456 15288 20433 21684 23352 25298 27244 37947 40866 43368 50596 54488 75894 81732 88543 101192 151788 163464 177086 265629 303576 354172 531258 708344 1062516 2125032