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2143556640 = 253251488581
BaseRepresentation
bin111111111000100…
…0001010000100000
312112101110221220200
41333301001100200
513342222303030
6552411505200
7104055634161
oct17761012040
95471427820
102143556640
119aaa88915
124b9a58200
1328212b514
14164987768
15c82bcd60
hex7fc41420

2143556640 has 72 divisors (see below), whose sum is σ = 7314891948. Its totient is φ = 571614720.

The previous prime is 2143556627. The next prime is 2143556641. The reversal of 2143556640 is 466553412.

2143556640 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 5 + 5 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1852785936 + 290770704 = 43044^2 + 17052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2143556595 and 2143556604.

It is not an unprimeable number, because it can be changed into a prime (2143556641) 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 11 ways as a sum of consecutive naturals, for example, 742851 + ... + 745730.

Almost surely, 22143556640 is an apocalyptic number.

2143556640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2143556640 is an abundant number, since it is smaller than the sum of its proper divisors (5171335308).

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

2143556640 is a wasteful number, since it uses less digits than its factorization.

2143556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488602 (or 1488591 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2143556640 is about 46298.5598048147. The cubic root of 2143556640 is about 1289.3722563201.

The spelling of 2143556640 in words is "two billion, one hundred forty-three million, five hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1488581 2977162 4465743 5954324 7442905 8931486 11908648 13397229 14885810 17862972 22328715 23817296 26794458 29771620 35725944 44657430 47634592 53588916 59543240 66986145 71451888 89314860 107177832 119086480 133972290 142903776 178629720 214355664 238172960 267944580 357259440 428711328 535889160 714518880 1071778320 2143556640