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2655603040 = 255107181857
BaseRepresentation
bin1001111001001001…
…0100100101100000
320212001222121112011
42132102110211200
520414313244130
61115302442304
7122544152626
oct23622244540
96761877464
102655603040
111143022962
12621433394
1333424075c
141b2997516
1510821552a
hex9e494960

2655603040 has 96 divisors (see below), whose sum is σ = 6374912544. Its totient is φ = 1045278720.

The previous prime is 2655603019. The next prime is 2655603043. The reversal of 2655603040 is 403065562.

It is a junction number, because it is equal to n+sod(n) for n = 2655602993 and 2655603011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2655603043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3098292 + ... + 3099148.

It is an arithmetic number, because the mean of its divisors is an integer number (66405339).

Almost surely, 22655603040 is an apocalyptic number.

2655603040 is a gapful number since it is divisible by the number (20) 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 2655603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187456272).

2655603040 is an abundant number, since it is smaller than the sum of its proper divisors (3719309504).

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

2655603040 is a wasteful number, since it uses less digits than its factorization.

2655603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2655603040 is about 51532.5435040810. The cubic root of 2655603040 is about 1384.8021178101.

The spelling of 2655603040 in words is "two billion, six hundred fifty-five million, six hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 181 214 362 428 535 724 856 857 905 1070 1448 1712 1714 1810 2140 2896 3424 3428 3620 4280 4285 5792 6856 7240 8560 8570 13712 14480 17120 17140 19367 27424 28960 34280 38734 68560 77468 91699 96835 137120 154936 155117 183398 193670 309872 310234 366796 387340 458495 619744 620468 733592 774680 775585 916990 1240936 1467184 1549360 1551170 1833980 2481872 2934368 3098720 3102340 3667960 4963744 6204680 7335920 12409360 14671840 16597519 24818720 33195038 66390076 82987595 132780152 165975190 265560304 331950380 531120608 663900760 1327801520 2655603040