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4144120 = 235313331
BaseRepresentation
bin1111110011101111111000
321210112122221
433303233320
52030102440
6224453424
750136661
oct17635770
97715587
104144120
1123805a2
12147a274
13b21356
1479c368
1556cd4a
hex3f3bf8

4144120 has 32 divisors (see below), whose sum is σ = 9382320. Its totient is φ = 1647360.

The previous prime is 4144099. The next prime is 4144121. The reversal of 4144120 is 214414.

It is a junction number, because it is equal to n+sod(n) for n = 4144094 and 4144103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144121) 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, 12355 + ... + 12685.

Almost surely, 24144120 is an apocalyptic number.

4144120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144120 is an abundant number, since it is smaller than the sum of its proper divisors (5238200).

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

4144120 is a wasteful number, since it uses less digits than its factorization.

4144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4144120 is about 2035.7111779425. The cubic root of 4144120 is about 160.6241247612.

Adding to 4144120 its reverse (214414), we get a palindrome (4358534).

The spelling of 4144120 in words is "four million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 331 626 662 1252 1324 1565 1655 2504 2648 3130 3310 6260 6620 12520 13240 103603 207206 414412 518015 828824 1036030 2072060 4144120