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4412660 = 225743733
BaseRepresentation
bin10000110101010011110100
322022012000212
4100311103310
52112201120
6234324552
752335620
oct20652364
98265025
104412660
11254432a
121589758
13bb6655
1482c180
155c26c5
hex4354f4

4412660 has 48 divisors (see below), whose sum is σ = 10851456. Its totient is φ = 1475712.

The previous prime is 4412659. The next prime is 4412663. The reversal of 4412660 is 662144.

It is a happy number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5654 + ... + 6386.

It is an arithmetic number, because the mean of its divisors is an integer number (226072).

Almost surely, 24412660 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 4412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425728).

4412660 is an abundant number, since it is smaller than the sum of its proper divisors (6438796).

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

4412660 is a wasteful number, since it uses less digits than its factorization.

4412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4412660 is about 2100.6332378595. The cubic root of 4412660 is about 164.0212643456.

It can be divided in two parts, 44 and 12660, that multiplied together give a triangular number (557040 = T1055).

The spelling of 4412660 in words is "four million, four hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 733 860 1204 1466 1505 2932 3010 3665 5131 6020 7330 10262 14660 20524 25655 31519 51310 63038 102620 126076 157595 220633 315190 441266 630380 882532 1103165 2206330 4412660