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4242280 = 2357109139
BaseRepresentation
bin10000001011101101101000
321222112022111
4100023231220
52041223110
6230532104
751026110
oct20135550
97875274
104242280
112438319
121507034
13b56c33
147c6040
1558be8a
hex40bb68

4242280 has 64 divisors (see below), whose sum is σ = 11088000. Its totient is φ = 1430784.

The previous prime is 4242269. The next prime is 4242283. The reversal of 4242280 is 822424.

It is not an unprimeable number, because it can be changed into a prime (4242283) 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, 30451 + ... + 30589.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

Almost surely, 24242280 is an apocalyptic number.

4242280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544000).

4242280 is an abundant number, since it is smaller than the sum of its proper divisors (6845720).

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

4242280 is a wasteful number, since it uses less digits than its factorization.

4242280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4242280 is about 2059.6795867319. The cubic root of 4242280 is about 161.8824529596.

It can be divided in two parts, 424 and 2280, that added together give a square (2704 = 522).

The spelling of 4242280 in words is "four million, two hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 139 140 218 278 280 436 545 556 695 763 872 973 1090 1112 1390 1526 1946 2180 2780 3052 3815 3892 4360 4865 5560 6104 7630 7784 9730 15151 15260 19460 30302 30520 38920 60604 75755 106057 121208 151510 212114 303020 424228 530285 606040 848456 1060570 2121140 4242280