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

bin | 1011010000000… |

… | …00000000000000 |

3 | 20120120120211100 |

4 | 11220000000000 |

5 | 143124344330 |

6 | 13210414400 |

7 | 2224101363 |

oct | 550000000 |

9 | 216516740 |

10 | 94371840 |

11 | 492a7a62 |

12 | 27731400 |

13 | 16722b34 |

14 | c7680da |

15 | 8442060 |

hex | 5a00000 |

94371840 has 132 divisors (see below), whose sum is σ = 327155634. Its totient is φ = 25165824.

The previous prime is 94371833. The next prime is 94371863. The reversal of 94371840 is 4817349.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)^{17}.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 9437184 = 9216^2 + 3072^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 4 and base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 94371795 and 94371804.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18874366 + ... + 18874370.

Almost surely, 2^{94371840} is an apocalyptic number.

94371840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577817).

94371840 is an abundant number, since it is smaller than the sum of its proper divisors (232783794).

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

94371840 is an frugal number, since it uses more digits than its factorization.

94371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 94371840 is about 9714.5169720373. The cubic root of 94371840 is about 455.2823429747.

The spelling of 94371840 in words is "ninety-four million, three hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 8192 9216 10240 11520 12288 15360 16384 18432 20480 23040 24576 30720 32768 36864 40960 46080 49152 61440 65536 73728 81920 92160 98304 122880 131072 147456 163840 184320 196608 245760 262144 294912 327680 368640 393216 491520 524288 589824 655360 737280 786432 983040 1048576 1179648 1310720 1474560 1572864 1966080 2097152 2359296 2621440 2949120 3145728 3932160 4718592 5242880 5898240 6291456 7864320 9437184 10485760 11796480 15728640 18874368 23592960 31457280 47185920 94371840

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