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2032240 = 245719191
BaseRepresentation
bin111110000001001110000
310211020201011
413300021300
51010012430
6111320304
723162620
oct7601160
93736634
102032240
111168941
12820094
13562012
143ac880
152a222a
hex1f0270

2032240 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 656640.

The previous prime is 2032237. The next prime is 2032241. The reversal of 2032240 is 422302.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2032240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10545 + ... + 10735.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

22032240 is an apocalyptic number.

2032240 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 2032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2032240 is an abundant number, since it is smaller than the sum of its proper divisors (3681680).

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

2032240 is a wasteful number, since it uses less digits than its factorization.

2032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2032240 is about 1425.5665540409. The cubic root of 2032240 is about 126.6654970652.

Adding to 2032240 its reverse (422302), we get a palindrome (2454542).

The spelling of 2032240 in words is "two million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 191 266 280 304 380 382 532 560 665 760 764 955 1064 1330 1337 1520 1528 1910 2128 2660 2674 3056 3629 3820 5320 5348 6685 7258 7640 10640 10696 13370 14516 15280 18145 21392 25403 26740 29032 36290 50806 53480 58064 72580 101612 106960 127015 145160 203224 254030 290320 406448 508060 1016120 2032240