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2003040 = 2532513107
BaseRepresentation
bin111101001000001100000
310202202122200
413221001200
51003044130
6110533200
723011524
oct7510140
93682580
102003040
111148a06
12807200
13551940
143a1d84
15298760
hex1e9060

2003040 has 144 divisors (see below), whose sum is σ = 7429968. Its totient is φ = 488448.

The previous prime is 2003033. The next prime is 2003051. The reversal of 2003040 is 403002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18667 + ... + 18773.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

22003040 is an apocalyptic number.

2003040 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 2003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984).

2003040 is an abundant number, since it is smaller than the sum of its proper divisors (5426928).

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

2003040 is a wasteful number, since it uses less digits than its factorization.

2003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2003040 is about 1415.2879565657. The cubic root of 2003040 is about 126.0559086731.

Adding to 2003040 its reverse (403002), we get a palindrome (2406042).

It can be divided in two parts, 200 and 3040, that added together give a triangular number (3240 = T80).

The spelling of 2003040 in words is "two million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 107 117 120 130 144 156 160 180 195 208 214 234 240 260 288 312 321 360 390 416 428 468 480 520 535 585 624 642 720 780 856 936 963 1040 1070 1170 1248 1284 1391 1440 1560 1605 1712 1872 1926 2080 2140 2340 2568 2782 3120 3210 3424 3744 3852 4173 4280 4680 4815 5136 5564 6240 6420 6955 7704 8346 8560 9360 9630 10272 11128 12519 12840 13910 15408 16692 17120 18720 19260 20865 22256 25038 25680 27820 30816 33384 38520 41730 44512 50076 51360 55640 62595 66768 77040 83460 100152 111280 125190 133536 154080 166920 200304 222560 250380 333840 400608 500760 667680 1001520 2003040