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2071478880 = 25335479509
BaseRepresentation
bin111101101111000…
…0100001001100000
312100100212000211000
41323132010021200
513220244311010
6541314552000
7102222165012
oct17336041140
95310760730
102071478880
11973328819
12499898600
13270213063
141591841b2
15c1cd17c0
hex7b784260

2071478880 has 96 divisors (see below), whose sum is σ = 7250191200. Its totient is φ = 552393216.

The previous prime is 2071478873. The next prime is 2071478887. The reversal of 2071478880 is 888741702.

It is an interprime number because it is at equal distance from previous prime (2071478873) and next prime (2071478887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071478887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235435 + ... + 244074.

It is an arithmetic number, because the mean of its divisors is an integer number (75522825).

Almost surely, 22071478880 is an apocalyptic number.

2071478880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2071478880 is an abundant number, since it is smaller than the sum of its proper divisors (5178712320).

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

2071478880 is a wasteful number, since it uses less digits than its factorization.

2071478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479533 (or 479519 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 2071478880 is about 45513.5021724323. The cubic root of 2071478880 is about 1274.7553302140.

The spelling of 2071478880 in words is "two billion, seventy-one million, four hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 479509 959018 1438527 1918036 2397545 2877054 3836072 4315581 4795090 5754108 7192635 7672144 8631162 9590180 11508216 12946743 14385270 15344288 17262324 19180360 21577905 23016432 25893486 28770540 34524648 38360720 43155810 46032864 51786972 57541080 64733715 69049296 76721440 86311620 103573944 115082160 129467430 138098592 172623240 207147888 230164320 258934860 345246480 414295776 517869720 690492960 1035739440 2071478880