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2112040 = 235719397
BaseRepresentation
bin1000000011101000101000
310222022011201
420003220220
51020041130
6113133544
723644360
oct10035050
93868151
102112040
111212897
1285a2b4
1358c438
143cd9a0
152babca
hex203a28

2112040 has 64 divisors (see below), whose sum is σ = 5731200. Its totient is φ = 684288.

The previous prime is 2112017. The next prime is 2112053. The reversal of 2112040 is 402112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5122 + ... + 5518.

It is an arithmetic number, because the mean of its divisors is an integer number (89550).

22112040 is an apocalyptic number.

2112040 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 2112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865600).

2112040 is an abundant number, since it is smaller than the sum of its proper divisors (3619160).

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

2112040 is a wasteful number, since it uses less digits than its factorization.

2112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2112040 is about 1453.2859319487. The cubic root of 2112040 is about 128.3021831781.

Adding to 2112040 its reverse (402112), we get a palindrome (2514152).

The spelling of 2112040 in words is "two million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 397 532 665 760 794 1064 1330 1588 1985 2660 2779 3176 3970 5320 5558 7543 7940 11116 13895 15086 15880 22232 27790 30172 37715 52801 55580 60344 75430 105602 111160 150860 211204 264005 301720 422408 528010 1056020 2112040