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6880020560 = 2457109111261
BaseRepresentation
bin1100110100001010…
…01100100001010000
3122202110222020221022
412122011030201100
5103042241124220
63054410415012
7332331131660
oct63205144120
918673866838
106880020560
112a10657306
121400131468
138584b84aa
14493a481a0
152a4019925
hex19a14c850

6880020560 has 80 divisors (see below), whose sum is σ = 18299578752. Its totient is φ = 2356492800.

The previous prime is 6880020533. The next prime is 6880020617. The reversal of 6880020560 is 650200886.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6880020560.

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, 605330 + ... + 616590.

Almost surely, 26880020560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6880020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149789376).

6880020560 is an abundant number, since it is smaller than the sum of its proper divisors (11419558192).

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

6880020560 is a wasteful number, since it uses less digits than its factorization.

6880020560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12372 (or 12366 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 6880020560 is about 82945.8893496236. The cubic root of 6880020560 is about 1901.9389771750.

The spelling of 6880020560 in words is "six billion, eight hundred eighty million, twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1091 2182 4364 5455 7637 8728 10910 11261 15274 17456 21820 22522 30548 38185 43640 45044 56305 61096 76370 78827 87280 90088 112610 122192 152740 157654 180176 225220 305480 315308 394135 450440 610960 630616 788270 900880 1261232 1576540 3153080 6306160 12285751 24571502 49143004 61428755 86000257 98286008 122857510 172000514 196572016 245715020 344001028 430001285 491430040 688002056 860002570 982860080 1376004112 1720005140 3440010280 6880020560