Search a number
-
+
4012440 = 2335291153
BaseRepresentation
bin1111010011100110011000
321112212000220
433103212120
52011344230
6222000040
746051035
oct17234630
97485026
104012440
1122a0673
121416020
13aa6433
1476638c
15543d10
hex3d3998

4012440 has 64 divisors (see below), whose sum is σ = 12463200. Its totient is φ = 1032192.

The previous prime is 4012381. The next prime is 4012441. The reversal of 4012440 is 442104.

4012440 = T159 + T160 + ... + T303.

4012440 is digitally balanced in base 5, 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 (15).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012441) 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, 2904 + ... + 4056.

Almost surely, 24012440 is an apocalyptic number.

4012440 is a gapful number since it is divisible by the number (40) 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 4012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231600).

4012440 is an abundant number, since it is smaller than the sum of its proper divisors (8450760).

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

4012440 is a wasteful number, since it uses less digits than its factorization.

4012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4012440 is about 2003.1075857277. The cubic root of 4012440 is about 158.9044954722.

Adding to 4012440 its reverse (442104), we get a palindrome (4454544).

The spelling of 4012440 in words is "four million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1153 1160 1740 2306 3459 3480 4612 5765 6918 9224 11530 13836 17295 23060 27672 33437 34590 46120 66874 69180 100311 133748 138360 167185 200622 267496 334370 401244 501555 668740 802488 1003110 1337480 2006220 4012440