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4200240 = 2435113743
BaseRepresentation
bin10000000001011100110000
321220101122110
4100001130300
52033401430
6230005320
750462412
oct20013460
97811573
104200240
112409780
1214a6840
13b40a65
147b49b2
1557e7b0
hex401730

4200240 has 160 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 967680.

The previous prime is 4200239. The next prime is 4200247. The reversal of 4200240 is 420024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4200247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97659 + ... + 97701.

Almost surely, 24200240 is an apocalyptic number.

4200240 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 4200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

4200240 is an abundant number, since it is smaller than the sum of its proper divisors (10727376).

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

4200240 is a wasteful number, since it uses less digits than its factorization.

4200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4200240 is about 2049.4487063598. The cubic root of 4200240 is about 161.3459377413.

Adding to 4200240 its reverse (420024), we get a palindrome (4620264).

The spelling of 4200240 in words is "four million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 43 44 48 55 60 66 74 80 86 88 110 111 120 129 132 148 165 172 176 185 215 220 222 240 258 264 296 330 344 370 407 430 440 444 473 516 528 555 592 645 660 688 740 814 860 880 888 946 1032 1110 1221 1290 1320 1419 1480 1591 1628 1720 1776 1892 2035 2064 2220 2365 2442 2580 2640 2838 2960 3182 3256 3440 3784 4070 4440 4730 4773 4884 5160 5676 6105 6364 6512 7095 7568 7955 8140 8880 9460 9546 9768 10320 11352 12210 12728 14190 15910 16280 17501 18920 19092 19536 22704 23865 24420 25456 28380 31820 32560 35002 37840 38184 47730 48840 52503 56760 63640 70004 76368 87505 95460 97680 105006 113520 127280 140008 175010 190920 210012 262515 280016 350020 381840 420024 525030 700040 840048 1050060 1400080 2100120 4200240