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2058336 = 253271021
BaseRepresentation
bin111110110100001100000
310212120111200
413312201200
51011331321
6112041200
723331660
oct7664140
93776450
102058336
111186505
12833200
13570b67
143b81a0
152a9d26
hex1f6860

2058336 has 72 divisors (see below), whose sum is σ = 6696144. Its totient is φ = 587520.

The previous prime is 2058311. The next prime is 2058341. The reversal of 2058336 is 6338502.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 2526.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

22058336 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 2058336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348072).

2058336 is an abundant number, since it is smaller than the sum of its proper divisors (4637808).

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

2058336 is a wasteful number, since it uses less digits than its factorization.

2058336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2058336 is about 1434.6902104636. The cubic root of 2058336 is about 127.2053634857.

The spelling of 2058336 in words is "two million, fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1021 2016 2042 3063 4084 6126 7147 8168 9189 12252 14294 16336 18378 21441 24504 28588 32672 36756 42882 49008 57176 64323 73512 85764 98016 114352 128646 147024 171528 228704 257292 294048 343056 514584 686112 1029168 2058336