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2071438160 = 2451113071801
BaseRepresentation
bin111101101110111…
…1010001101010000
312100100202221221212
41323131322031100
513220242010120
6541314035252
7102221635211
oct17335721520
95310687855
102071438160
11973300170
12499878b28
132701ca66c
14159173408
15c1cc46c5
hex7b77a350

2071438160 has 80 divisors (see below), whose sum is σ = 5260859712. Its totient is φ = 752256000.

The previous prime is 2071438157. The next prime is 2071438181. The reversal of 2071438160 is 618341702.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1149260 + ... + 1151060.

Almost surely, 22071438160 is an apocalyptic number.

2071438160 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 2071438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630429856).

2071438160 is an abundant number, since it is smaller than the sum of its proper divisors (3189421552).

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

2071438160 is a wasteful number, since it uses less digits than its factorization.

2071438160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2071438160 is about 45513.0548304550. The cubic root of 2071438160 is about 1274.7469773447.

Adding to 2071438160 its reverse (618341702), we get a palindrome (2689779862).

The spelling of 2071438160 in words is "two billion, seventy-one million, four hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1307 1801 2614 3602 5228 6535 7204 9005 10456 13070 14377 14408 18010 19811 20912 26140 28754 28816 36020 39622 52280 57508 71885 72040 79244 99055 104560 115016 143770 144080 158488 198110 230032 287540 316976 396220 575080 792440 1150160 1584880 2353907 4707814 9415628 11769535 18831256 23539070 25892977 37662512 47078140 51785954 94156280 103571908 129464885 188312560 207143816 258929770 414287632 517859540 1035719080 2071438160