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4233120 = 25358819
BaseRepresentation
bin10000001001011110100000
321222001202020
4100021132200
52040424440
6230421440
750660313
oct20113640
97861666
104233120
112431451
121501880
13b52a08
147c297a
155893d0
hex4097a0

4233120 has 48 divisors (see below), whose sum is σ = 13335840. Its totient is φ = 1128704.

The previous prime is 4233113. The next prime is 4233121. The reversal of 4233120 is 213324.

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 a self number, because there is not a number n which added to its sum of digits gives 4233120.

It is not an unprimeable number, because it can be changed into a prime (4233121) 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, 3930 + ... + 4889.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 24233120 is an apocalyptic number.

4233120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233120 is an abundant number, since it is smaller than the sum of its proper divisors (9102720).

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

4233120 is a wasteful number, since it uses less digits than its factorization.

4233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4233120 is about 2057.4547382628. The cubic root of 4233120 is about 161.7658559244.

Adding to 4233120 its reverse (213324), we get a palindrome (4446444).

The spelling of 4233120 in words is "four million, two hundred thirty-three thousand, one hundred twenty".

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 8819 17638 26457 35276 44095 52914 70552 88190 105828 132285 141104 176380 211656 264570 282208 352760 423312 529140 705520 846624 1058280 1411040 2116560 4233120