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2137068 = 2232232989
BaseRepresentation
bin1000001001101111101100
311000120111200
420021233230
51021341233
6113445500
724110343
oct10115754
94016450
102137068
11122a67a
12870890
1359a94b
143d8b5a
152c3313
hex209bec

2137068 has 72 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 650496.

The previous prime is 2137049. The next prime is 2137073. The reversal of 2137068 is 8607312.

2137068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 23968 + ... + 24056.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22137068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2137068 is an abundant number, since it is smaller than the sum of its proper divisors (3759732).

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

2137068 is a wasteful number, since it uses less digits than its factorization.

2137068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2137068 is about 1461.8714033731. The cubic root of 2137068 is about 128.8069945920.

The spelling of 2137068 in words is "two million, one hundred thirty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 89 92 116 138 174 178 207 261 267 276 348 356 414 522 534 667 801 828 1044 1068 1334 1602 2001 2047 2581 2668 3204 4002 4094 5162 6003 6141 7743 8004 8188 10324 12006 12282 15486 18423 23229 24012 24564 30972 36846 46458 59363 73692 92916 118726 178089 237452 356178 534267 712356 1068534 2137068