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2137830 = 23571261
BaseRepresentation
bin1000001001111011100110
311000121112220
420021323212
51021402310
6113453210
724112512
oct10117346
94017486
102137830
111230202
12871206
1359b0b6
143d9142
152c3670
hex209ee6

2137830 has 16 divisors (see below), whose sum is σ = 5130864. Its totient is φ = 570080.

The previous prime is 2137829. The next prime is 2137841. The reversal of 2137830 is 387312.

2137830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2137830.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35601 + ... + 35660.

It is an arithmetic number, because the mean of its divisors is an integer number (320679).

22137830 is an apocalyptic number.

2137830 is an abundant number, since it is smaller than the sum of its proper divisors (2993034).

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

2137830 is a wasteful number, since it uses less digits than its factorization.

2137830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71271.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2137830 is about 1462.1320049845. The cubic root of 2137830 is about 128.8223020548.

It can be divided in two parts, 21 and 37830, that multiplied together give a triangular number (794430 = T1260).

The spelling of 2137830 in words is "two million, one hundred thirty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71261 142522 213783 356305 427566 712610 1068915 2137830