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2102240 = 25571877
BaseRepresentation
bin1000000001001111100000
310221210201202
420001033200
51014232430
6113020332
723603660
oct10011740
93853652
102102240
111206498
128546a8
13587b3a
143ca1a0
152b7d45
hex2013e0

2102240 has 48 divisors (see below), whose sum is σ = 5679072. Its totient is φ = 720384.

The previous prime is 2102213. The next prime is 2102249. The reversal of 2102240 is 422012.

2102240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 182 + ... + 2058.

It is an arithmetic number, because the mean of its divisors is an integer number (118314).

22102240 is an apocalyptic number.

2102240 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 2102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839536).

2102240 is an abundant number, since it is smaller than the sum of its proper divisors (3576832).

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

2102240 is a wasteful number, since it uses less digits than its factorization.

2102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2102240 is about 1449.9103420557. The cubic root of 2102240 is about 128.1034320229.

Adding to 2102240 its reverse (422012), we get a palindrome (2524252).

It can be divided in two parts, 2 and 102240, that multiplied together give a triangular number (204480 = T639).

The spelling of 2102240 in words is "two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1877 3754 7508 9385 13139 15016 18770 26278 30032 37540 52556 60064 65695 75080 105112 131390 150160 210224 262780 300320 420448 525560 1051120 2102240