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4242240 = 26335491
BaseRepresentation
bin10000001011101101000000
321222112021000
4100023231000
52041222430
6230532000
751026022
oct20135500
97875230
104242240
112438292
121507000
13b56c02
147c6012
1558be60
hex40bb40

4242240 has 112 divisors (see below), whose sum is σ = 14996160. Its totient is φ = 1128960.

The previous prime is 4242233. The next prime is 4242241. The reversal of 4242240 is 422424.

4242240 is a `hidden beast` number, since 424 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242241) 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, 8395 + ... + 8885.

Almost surely, 24242240 is an apocalyptic number.

4242240 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 4242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498080).

4242240 is an abundant number, since it is smaller than the sum of its proper divisors (10753920).

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

4242240 is a wasteful number, since it uses less digits than its factorization.

4242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4242240 is about 2059.6698764608. The cubic root of 4242240 is about 161.8819441673.

Adding to 4242240 its reverse (422424), we get a palindrome (4664664).

The spelling of 4242240 in words is "four million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 491 540 576 720 864 960 982 1080 1440 1473 1728 1964 2160 2455 2880 2946 3928 4320 4419 4910 5892 7365 7856 8640 8838 9820 11784 13257 14730 15712 17676 19640 22095 23568 26514 29460 31424 35352 39280 44190 47136 53028 58920 66285 70704 78560 88380 94272 106056 117840 132570 141408 157120 176760 212112 235680 265140 282816 353520 424224 471360 530280 707040 848448 1060560 1414080 2121120 4242240