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2741470080 = 27358317203
BaseRepresentation
bin1010001101100111…
…1000001110000000
321002001120002221220
42203121320032000
521103304020310
61132011115040
7124636053066
oct24331701600
97061502856
102741470080
111187541058
12646142a80
13348c7645b
141c014a036
15110a27670
hexa3678380

2741470080 has 128 divisors (see below), whose sum is σ = 8844232320. Its totient is φ = 722208768.

The previous prime is 2741470049. The next prime is 2741470091. The reversal of 2741470080 is 800741472.

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

It is a congruent number.

It is an unprimeable number.

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, 150759 + ... + 167961.

It is an arithmetic number, because the mean of its divisors is an integer number (69095565).

Almost surely, 22741470080 is an apocalyptic number.

2741470080 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 2741470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422116160).

2741470080 is an abundant number, since it is smaller than the sum of its proper divisors (6102762240).

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

2741470080 is a wasteful number, since it uses less digits than its factorization.

2741470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17308 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 2741470080 is about 52359.0496476015. The cubic root of 2741470080 is about 1399.5696091986.

The spelling of 2741470080 in words is "two billion, seven hundred forty-one million, four hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 320 332 384 415 480 498 640 664 830 960 996 1245 1328 1660 1920 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 10624 13280 15936 17203 19920 26560 31872 34406 39840 51609 53120 68812 79680 86015 103218 137624 159360 172030 206436 258045 275248 344060 412872 516090 550496 688120 825744 1032180 1100992 1376240 1427849 1651488 2064360 2201984 2752480 2855698 3302976 4128720 4283547 5504960 5711396 6605952 7139245 8257440 8567094 11009920 11422792 14278490 16514880 17134188 21417735 22845584 28556980 33029760 34268376 42835470 45691168 57113960 68536752 85670940 91382336 114227920 137073504 171341880 182764672 228455840 274147008 342683760 456911680 548294016 685367520 913823360 1370735040 2741470080