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4242660 = 2235312281
BaseRepresentation
bin10000001011110011100100
321222112211120
4100023303210
52041231120
6230533540
751030162
oct20136344
97875746
104242660
112438634
1215072b0
13b57166
147c6232
1558c140
hex40bce4

4242660 has 48 divisors (see below), whose sum is σ = 12268032. Its totient is φ = 1094400.

The previous prime is 4242659. The next prime is 4242661. The reversal of 4242660 is 662424.

It is an interprime number because it is at equal distance from previous prime (4242659) and next prime (4242661).

It is a d-powerful number, because it can be written as 4 + 25 + 411 + 215 + 65 + 65 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4242660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242661) 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, 720 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (255584).

Almost surely, 24242660 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 4242660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134016).

4242660 is an abundant number, since it is smaller than the sum of its proper divisors (8025372).

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

4242660 is a wasteful number, since it uses less digits than its factorization.

4242660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4242660 is about 2059.7718320241. The cubic root of 4242660 is about 161.8872863271.

It can be divided in two parts, 42426 and 60, that added together give a triangular number (42486 = T291).

The spelling of 4242660 in words is "four million, two hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2281 4562 6843 9124 11405 13686 22810 27372 34215 45620 68430 70711 136860 141422 212133 282844 353555 424266 707110 848532 1060665 1414220 2121330 4242660