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416070 = 23352367
BaseRepresentation
bin1100101100101000110
3210010202000
41211211012
5101303240
612530130
73352014
oct1454506
9703660
10416070
11264666
12180946
131174c5
14ab8b4
1583430
hex65946

416070 has 64 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 104544.

The previous prime is 416023. The next prime is 416071. The reversal of 416070 is 70614.

It is a super-2 number, since 2×4160702 = 346228489800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416071) by changing a digit.

416070 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6177 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2416070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

416070 is an abundant number, since it is smaller than the sum of its proper divisors (758970).

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

416070 is a wasteful number, since it uses less digits than its factorization.

416070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 416070 is about 645.0348827777. The cubic root of 416070 is about 74.6544100134.

Adding to 416070 its reverse (70614), we get a palindrome (486684).

The spelling of 416070 in words is "four hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 67 69 90 115 134 135 138 201 207 230 270 335 345 402 414 603 621 670 690 1005 1035 1206 1242 1541 1809 2010 2070 3015 3082 3105 3618 4623 6030 6210 7705 9045 9246 13869 15410 18090 23115 27738 41607 46230 69345 83214 138690 208035 416070