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40260480 = 2735131613
BaseRepresentation
bin1001100110010…
…1001110000000
32210202102222220
42121211032000
540301313410
63554531040
7666131331
oct231451600
983672886
1040260480
11207a9327
1211596a80
138458290
1454c0288
153804070
hex2665380

40260480 has 128 divisors (see below), whose sum is σ = 138287520. Its totient is φ = 9904128.

The previous prime is 40260469. The next prime is 40260503. The reversal of 40260480 is 8406204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40260480.

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, 24154 + ... + 25766.

Almost surely, 240260480 is an apocalyptic number.

40260480 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 40260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69143760).

40260480 is an abundant number, since it is smaller than the sum of its proper divisors (98027040).

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

40260480 is a wasteful number, since it uses less digits than its factorization.

40260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40260480 is about 6345.1146561745. The cubic root of 40260480 is about 342.7359412867.

Adding to 40260480 its reverse (8406204), we get a palindrome (48666684).

The spelling of 40260480 in words is "forty million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1613 1664 1920 2080 2496 3120 3226 4160 4839 4992 6240 6452 8065 8320 9678 12480 12904 16130 19356 20969 24195 24960 25808 32260 38712 41938 48390 51616 62907 64520 77424 83876 96780 103232 104845 125814 129040 154848 167752 193560 206464 209690 251628 258080 309696 314535 335504 387120 419380 503256 516160 619392 629070 671008 774240 838760 1006512 1032320 1258140 1342016 1548480 1677520 2013024 2516280 2684032 3096960 3355040 4026048 5032560 6710080 8052096 10065120 13420160 20130240 40260480