Base | Representation |
---|---|

bin | 1011011001000000000000 |

3 | 12121201000000 |

4 | 23121000000 |

5 | 1231022414 |

6 | 144000000 |

7 | 34244331 |

oct | 13310000 |

9 | 5551000 |

10 | 2985984 |

11 | 175a461 |

12 | 1000000 |

13 | 807171 |

14 | 57a288 |

15 | 3deb09 |

hex | 2d9000 |

2985984 has 91 divisors (see below), whose sum is σ = 8952763. Its totient is φ = 995328.

The previous prime is 2985979. The next prime is 2985991. The reversal of 2985984 is 4895892.

It can be divided in two parts, 2985 and 984, that added together give a square (3969 = 63^{2}).

The square root of 2985984 is 1728.

The cubic root of 2985984 is 144.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)^{3} ⋅ (3!)^{3}.

It is a super-2 number, since 2×2985984^{2} = 17832200896512, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (207360) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 9 and base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 995327 + 995328 + 995329.

2^{2985984} is an apocalyptic number.

2985984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2985984 is the 1728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985984

2985984 is an abundant number, since it is smaller than the sum of its proper divisors (5966779).

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

2985984 is an frugal number, since it uses more digits than its factorization.

2985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 5 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 2985984 in words is "two million, nine hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2304 2592 2916 3072 3456 3888 4096 4608 5184 5832 6144 6912 7776 9216 10368 11664 12288 13824 15552 18432 20736 23328 27648 31104 36864 41472 46656 55296 62208 82944 93312 110592 124416 165888 186624 248832 331776 373248 497664 746496 995328 1492992 2985984

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