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2058984 = 233228597
BaseRepresentation
bin111110110101011101000
310212121101200
413312223220
51011341414
6112044200
723333604
oct7665350
93777350
102058984
111186a44
12833660
13571245
143b8504
152aa109
hex1f6ae8

2058984 has 24 divisors (see below), whose sum is σ = 5576610. Its totient is φ = 686304.

The previous prime is 2058967. The next prime is 2059009. The reversal of 2058984 is 4898502.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 956484 = 1050^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×20589842 = 8478830224512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14227 + ... + 14370.

22058984 is an apocalyptic number.

2058984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2058984 is an abundant number, since it is smaller than the sum of its proper divisors (3517626).

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

2058984 is a wasteful number, since it uses less digits than its factorization.

2058984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609 (or 28602 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2058984 is about 1434.9160254175. The cubic root of 2058984 is about 127.2187109060.

The spelling of 2058984 in words is "two million, fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 28597 57194 85791 114388 171582 228776 257373 343164 514746 686328 1029492 2058984