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4242040 = 2351131311
BaseRepresentation
bin10000001011101001111000
321222111222121
4100023221320
52041221130
6230531024
751025315
oct20135170
97874877
104242040
112438120
121506a74
13b56aaa
147c5d0c
1558bd7a
hex40ba78

4242040 has 64 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 1488000.

The previous prime is 4242031. The next prime is 4242059. The reversal of 4242040 is 402424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13485 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 24242040 is an apocalyptic number.

4242040 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 4242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

4242040 is an abundant number, since it is smaller than the sum of its proper divisors (6540680).

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

4242040 is a wasteful number, since it uses less digits than its factorization.

4242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4242040 is about 2059.6213244186. The cubic root of 4242040 is about 161.8794001577.

Adding to 4242040 its reverse (402424), we get a palindrome (4644464).

The spelling of 4242040 in words is "four million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 311 341 440 620 622 682 1240 1244 1364 1555 1705 2488 2728 3110 3410 3421 6220 6820 6842 9641 12440 13640 13684 17105 19282 27368 34210 38564 48205 68420 77128 96410 106051 136840 192820 212102 385640 424204 530255 848408 1060510 2121020 4242040