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4414140 = 22325137179
BaseRepresentation
bin10000110101101010111100
322022021001200
4100311222330
52112223030
6234335500
752343133
oct20655274
98267050
104414140
112545455
12158a590
13bb7223
1482c91a
155c2d60
hex435abc

4414140 has 72 divisors (see below), whose sum is σ = 13562640. Its totient is φ = 1161984.

The previous prime is 4414129. The next prime is 4414147. The reversal of 4414140 is 414144.

4414140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24571 + ... + 24749.

It is an arithmetic number, because the mean of its divisors is an integer number (188370).

Almost surely, 24414140 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 4414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781320).

4414140 is an abundant number, since it is smaller than the sum of its proper divisors (9148500).

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

4414140 is a wasteful number, since it uses less digits than its factorization.

4414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4414140 is about 2100.9854830531. The cubic root of 4414140 is about 164.0395997969.

Adding to 4414140 its reverse (414144), we get a palindrome (4828284).

It can be divided in two parts, 4414 and 140, that added together give a palindrome (4554).

The spelling of 4414140 in words is "four million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 179 180 274 358 411 537 548 685 716 822 895 1074 1233 1370 1611 1644 1790 2055 2148 2466 2685 2740 3222 3580 4110 4932 5370 6165 6444 8055 8220 10740 12330 16110 24523 24660 32220 49046 73569 98092 122615 147138 220707 245230 294276 367845 441414 490460 735690 882828 1103535 1471380 2207070 4414140