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2012040 = 2337523
BaseRepresentation
bin111101011001110001000
310210020000000
413223032020
51003341130
6111043000
723050002
oct7531610
93706000
102012040
111154748
12810460
13555a74
143a5372
1529b260
hex1eb388

2012040 has 128 divisors (see below), whose sum is σ = 7084800. Its totient is φ = 513216.

The previous prime is 2012033. The next prime is 2012047. The reversal of 2012040 is 402102.

It is an interprime number because it is at equal distance from previous prime (2012033) and next prime (2012047).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2012047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87469 + ... + 87491.

It is an arithmetic number, because the mean of its divisors is an integer number (55350).

22012040 is an apocalyptic number.

2012040 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 2012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542400).

2012040 is an abundant number, since it is smaller than the sum of its proper divisors (5072760).

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

2012040 is an equidigital number, since it uses as much as digits as its factorization.

2012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2012040 is about 1418.4639579489. The cubic root of 2012040 is about 126.2444235030.

Adding to 2012040 its reverse (402102), we get a palindrome (2414142).

The spelling of 2012040 in words is "two million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 243 270 276 324 345 360 405 414 460 486 540 552 621 648 690 729 810 828 920 972 1035 1080 1215 1242 1380 1458 1620 1656 1863 1944 2070 2187 2430 2484 2760 2916 3105 3240 3645 3726 4140 4374 4860 4968 5589 5832 6210 7290 7452 8280 8748 9315 9720 10935 11178 12420 14580 14904 16767 17496 18630 21870 22356 24840 27945 29160 33534 37260 43740 44712 50301 55890 67068 74520 83835 87480 100602 111780 134136 167670 201204 223560 251505 335340 402408 503010 670680 1006020 2012040