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40260720 = 2435227739
BaseRepresentation
bin1001100110010…
…1010001110000
32210202110022210
42121211101300
540301320340
63554532120
7666132123
oct231452160
983673283
1040260720
11207a9525
1211597040
138458416
1454c03ba
153804180
hex2665470

40260720 has 80 divisors (see below), whose sum is σ = 125527680. Its totient is φ = 10674432.

The previous prime is 40260713. The next prime is 40260739. The reversal of 40260720 is 2706204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54111 + ... + 54849.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 240260720 is an apocalyptic number.

40260720 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 40260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763840).

40260720 is an abundant number, since it is smaller than the sum of its proper divisors (85266960).

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

40260720 is a wasteful number, since it uses less digits than its factorization.

40260720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40260720 is about 6345.1335683341. The cubic root of 40260720 is about 342.7366223223.

Adding to 40260720 its reverse (2706204), we get a palindrome (42966924).

The spelling of 40260720 in words is "forty million, two hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 739 908 1135 1362 1478 1816 2217 2270 2724 2956 3405 3632 3695 4434 4540 5448 5912 6810 7390 8868 9080 10896 11085 11824 13620 14780 17736 18160 22170 27240 29560 35472 44340 54480 59120 88680 167753 177360 335506 503259 671012 838765 1006518 1342024 1677530 2013036 2516295 2684048 3355060 4026072 5032590 6710120 8052144 10065180 13420240 20130360 40260720