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2139210 = 234519139
BaseRepresentation
bin1000001010010001001010
311000200110000
420022101022
51021423320
6113503430
724116523
oct10122112
94020400
102139210
111231247
12871b76
1359b908
143d984a
152c3c90
hex20a44a

2139210 has 80 divisors (see below), whose sum is σ = 6098400. Its totient is φ = 536544.

The previous prime is 2139199. The next prime is 2139211. The reversal of 2139210 is 129312.

2139210 = T465 + T466 + ... + T483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2139211) 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 39 ways as a sum of consecutive naturals, for example, 15321 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

22139210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049200).

2139210 is an abundant number, since it is smaller than the sum of its proper divisors (3959190).

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

2139210 is a wasteful number, since it uses less digits than its factorization.

2139210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2139210 is about 1462.6038424673. The cubic root of 2139210 is about 128.8500149753.

The spelling of 2139210 in words is "two million, one hundred thirty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 139 162 171 190 270 278 285 342 405 417 513 570 695 810 834 855 1026 1251 1390 1539 1710 2085 2502 2565 2641 3078 3753 4170 5130 5282 6255 7506 7695 7923 11259 12510 13205 15390 15846 18765 22518 23769 26410 37530 39615 47538 56295 71307 79230 112590 118845 142614 213921 237690 356535 427842 713070 1069605 2139210