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4201440 = 25358753
BaseRepresentation
bin10000000001101111100000
321220110021220
4100001233200
52033421230
6230015040
750466045
oct20015740
97813256
104201440
11240a671
1214a7480
13b41479
147b51cc
1557ed10
hex401be0

4201440 has 48 divisors (see below), whose sum is σ = 13236048. Its totient is φ = 1120256.

The previous prime is 4201429. The next prime is 4201447. The reversal of 4201440 is 441024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3897 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (275751).

Almost surely, 24201440 is an apocalyptic number.

4201440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201440 is an abundant number, since it is smaller than the sum of its proper divisors (9034608).

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

4201440 is a wasteful number, since it uses less digits than its factorization.

4201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8763 counting only the distinct ones).

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

The square root of 4201440 is about 2049.7414471099. The cubic root of 4201440 is about 161.3613016800.

Adding to 4201440 its reverse (441024), we get a palindrome (4642464).

The spelling of 4201440 in words is "four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8753 17506 26259 35012 43765 52518 70024 87530 105036 131295 140048 175060 210072 262590 280096 350120 420144 525180 700240 840288 1050360 1400480 2100720 4201440