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

bin | 100101111010… |

… | …111000010100 |

3 | 200201000210200 |

4 | 211322320110 |

5 | 10021044000 |

6 | 553020500 |

7 | 150331023 |

oct | 45727024 |

9 | 20630720 |

10 | 9940500 |

11 | 567a499 |

12 | 33b4730 |

13 | 20a076b |

14 | 146a8ba |

15 | d15500 |

hex | 97ae14 |

9940500 has 108 divisors (see below), whose sum is σ = 32040372. Its totient is φ = 2594400.

The previous prime is 9940471. The next prime is 9940501. The reversal of 9940500 is 50499.

Multipling 9940500 by its product of nonzero digits (1620), we get a square (16103610000 = 126900^{2}).

Adding to 9940500 its reverse (50499), we get a palindrome (9990999).

It can be divided in two parts, 9940 and 500, that added together give a triangular number (10440 = T_{144}).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9940500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 9622404 = 564^2 + 3102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9940501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211477 + ... + 211523.

Almost surely, 2^{9940500} is an apocalyptic number.

9940500 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 9940500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020186).

9940500 is an abundant number, since it is smaller than the sum of its proper divisors (22099872).

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

9940500 is a wasteful number, since it uses less digits than its factorization.

9940500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9940500 is about 3152.8558482747. The cubic root of 9940500 is about 215.0153225063.

The spelling of 9940500 in words is "nine million, nine hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 125 141 150 180 188 225 235 250 282 300 375 423 450 470 500 564 705 750 846 900 940 1125 1175 1410 1500 1692 2115 2209 2250 2350 2820 3525 4230 4418 4500 4700 5875 6627 7050 8460 8836 10575 11045 11750 13254 14100 17625 19881 21150 22090 23500 26508 33135 35250 39762 42300 44180 52875 55225 66270 70500 79524 99405 105750 110450 132540 165675 198810 211500 220900 276125 331350 397620 497025 552250 662700 828375 994050 1104500 1656750 1988100 2485125 3313500 4970250 9940500

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •