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6632140 = 2251931563
BaseRepresentation
bin11001010011001011001100
3110110221120211
4121103023030
53144212030
6354052204
7110241454
oct31231314
913427524
106632140
11381a909
12227a064
1314b2958
14c48d64
158b012a
hex6532cc

6632140 has 48 divisors (see below), whose sum is σ = 15160320. Its totient is φ = 2427840.

The previous prime is 6632117. The next prime is 6632141. The reversal of 6632140 is 412366.

6632140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6632141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11499 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (315840).

Almost surely, 26632140 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 6632140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580160).

6632140 is an abundant number, since it is smaller than the sum of its proper divisors (8528180).

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

6632140 is a wasteful number, since it uses less digits than its factorization.

6632140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 6632140 is about 2575.2941579556. The cubic root of 6632140 is about 187.8817348837.

The spelling of 6632140 in words is "six million, six hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 563 589 620 1126 1178 2252 2356 2815 2945 5630 5890 10697 11260 11780 17453 21394 34906 42788 53485 69812 87265 106970 174530 213940 331607 349060 663214 1326428 1658035 3316070 6632140