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6780898560 = 28352118369
BaseRepresentation
bin1100101000010110…
…00100110100000000
3122111120110100010010
412110023010310000
5102341402223220
63040510104520
7330015454362
oct62413046400
918446410103
106780898560
11296a7054a7
121392aab140
13840ac1517
14484804d32
1529a48a1e0
hex1942c4d00

6780898560 has 144 divisors (see below), whose sum is σ = 21761732160. Its totient is φ = 1799454720.

The previous prime is 6780898517. The next prime is 6780898567. The reversal of 6780898560 is 658980876.

It is a self number, because there is not a number n which added to its sum of digits gives 6780898560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780898567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806056 + ... + 814424.

It is an arithmetic number, because the mean of its divisors is an integer number (151123140).

Almost surely, 26780898560 is an apocalyptic number.

6780898560 is a gapful number since it is divisible by the number (60) 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 6780898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880866080).

6780898560 is an abundant number, since it is smaller than the sum of its proper divisors (14980833600).

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

6780898560 is a wasteful number, since it uses less digits than its factorization.

6780898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The square root of 6780898560 is about 82346.2115704177. The cubic root of 6780898560 is about 1892.7608708140.

The spelling of 6780898560 in words is "six billion, seven hundred eighty million, eight hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 256 320 384 422 480 633 640 768 844 960 1055 1266 1280 1688 1920 2110 2532 3165 3376 3840 4220 5064 6330 6752 8369 8440 10128 12660 13504 16738 16880 20256 25107 25320 27008 33476 33760 40512 41845 50214 50640 54016 66952 67520 81024 83690 100428 101280 125535 133904 135040 162048 167380 200856 202560 251070 267808 270080 334760 401712 405120 502140 535616 669520 803424 810240 1004280 1071232 1339040 1606848 1765859 2008560 2142464 2678080 3213696 3531718 4017120 5297577 5356160 6427392 7063436 8034240 8829295 10595154 10712320 14126872 16068480 17658590 21190308 26487885 28253744 32136960 35317180 42380616 52975770 56507488 70634360 84761232 105951540 113014976 141268720 169522464 211903080 226029952 282537440 339044928 423806160 452059904 565074880 678089856 847612320 1130149760 1356179712 1695224640 2260299520 3390449280 6780898560