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40560240 = 2435723449
BaseRepresentation
bin1001101010111…
…0011001110000
32211022200012010
42122232121300
540340411430
64005202520
71001520300
oct232563160
984280163
1040560240
1120993566
1211700440
138531856
14555b600
153862cb0
hex26ae670

40560240 has 120 divisors (see below), whose sum is σ = 146307600. Its totient is φ = 9268224.

The previous prime is 40560239. The next prime is 40560263. The reversal of 40560240 is 4206504.

It is a happy number.

40560240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10036 + ... + 13484.

It is an arithmetic number, because the mean of its divisors is an integer number (1219230).

Almost surely, 240560240 is an apocalyptic number.

40560240 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 40560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73153800).

40560240 is an abundant number, since it is smaller than the sum of its proper divisors (105747360).

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

40560240 is a wasteful number, since it uses less digits than its factorization.

40560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40560240 is about 6368.6921734372. The cubic root of 40560240 is about 343.5844540619.

Adding to 40560240 its reverse (4206504), we get a palindrome (44766744).

It can be divided in two parts, 40560 and 240, that multiplied together give a square (9734400 = 31202).

The spelling of 40560240 in words is "forty million, five hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3449 3920 5880 6898 10347 11760 13796 17245 20694 24143 27592 34490 41388 48286 51735 55184 68980 72429 82776 96572 103470 120715 137960 144858 165552 169001 193144 206940 241430 275920 289716 338002 362145 386288 413880 482860 507003 579432 676004 724290 827760 845005 965720 1014006 1158864 1352008 1448580 1690010 1931440 2028012 2535015 2704016 2897160 3380020 4056024 5070030 5794320 6760040 8112048 10140060 13520080 20280120 40560240