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2112984 = 233229347
BaseRepresentation
bin1000000011110111011000
310222100110200
420003313120
51020103414
6113142200
723650206
oct10036730
93870420
102112984
111213575
1285a960
1358c9b3
143d0076
152bb109
hex203dd8

2112984 has 24 divisors (see below), whose sum is σ = 5722860. Its totient is φ = 704304.

The previous prime is 2112973. The next prime is 2112989. The reversal of 2112984 is 4892112.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14602 + ... + 14745.

22112984 is an apocalyptic number.

2112984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112984 is an abundant number, since it is smaller than the sum of its proper divisors (3609876).

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

2112984 is a wasteful number, since it uses less digits than its factorization.

2112984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29359 (or 29352 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2112984 is about 1453.6106769008. The cubic root of 2112984 is about 128.3212956982.

The spelling of 2112984 in words is "two million, one hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29347 58694 88041 117388 176082 234776 264123 352164 528246 704328 1056492 2112984