Search a number
-
+
661416 = 233731127
BaseRepresentation
bin10100001011110101000
31020121021220
42201132220
5132131131
622102040
75423220
oct2413650
91217256
10661416
11411a28
1227a920
131a2092
14133080
15d0e96
hexa17a8

661416 has 64 divisors (see below), whose sum is σ = 1966080. Its totient is φ = 181440.

The previous prime is 661393. The next prime is 661417. The reversal of 661416 is 614166.

It is a super-2 number, since 2×6614162 = 874942250112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (661417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5145 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (30720).

2661416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983040).

661416 is an abundant number, since it is smaller than the sum of its proper divisors (1304664).

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

661416 is a wasteful number, since it uses less digits than its factorization.

661416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 661416 is about 813.2748612861. The cubic root of 661416 is about 87.1280977294.

The spelling of 661416 in words is "six hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 127 168 186 217 248 254 372 381 434 508 651 744 762 868 889 1016 1302 1524 1736 1778 2604 2667 3048 3556 3937 5208 5334 7112 7874 10668 11811 15748 21336 23622 27559 31496 47244 55118 82677 94488 110236 165354 220472 330708 661416