Search a number
-
+
2067697280 = 275111392113
BaseRepresentation
bin111101100111110…
…1000111010000000
312100002201220102202
41323033220322000
513213312303110
6541101532332
7102145064645
oct17317507200
95302656382
102067697280
11971185630
124985740a8
1326c4baa1c
1415887bdcc
15c17d60a5
hex7b3e8e80

2067697280 has 128 divisors (see below), whose sum is σ = 5433825600. Its totient is φ = 746127360.

The previous prime is 2067697277. The next prime is 2067697327. The reversal of 2067697280 is 827967602.

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

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, 977504 + ... + 979616.

Almost surely, 22067697280 is an apocalyptic number.

2067697280 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 2067697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716912800).

2067697280 is an abundant number, since it is smaller than the sum of its proper divisors (3366128320).

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

2067697280 is a wasteful number, since it uses less digits than its factorization.

2067697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 2067697280 is about 45471.9394791997. The cubic root of 2067697280 is about 1273.9791454288.

The spelling of 2067697280 in words is "two billion, sixty-seven million, six hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 139 160 176 220 278 320 352 440 556 640 695 704 880 1112 1390 1408 1529 1760 2113 2224 2780 3058 3520 4226 4448 5560 6116 7040 7645 8452 8896 10565 11120 12232 15290 16904 17792 21130 22240 23243 24464 30580 33808 42260 44480 46486 48928 61160 67616 84520 88960 92972 97856 116215 122320 135232 169040 185944 195712 232430 244640 270464 293707 338080 371888 464860 489280 587414 676160 743776 929720 978560 1174828 1352320 1468535 1487552 1859440 2349656 2937070 2975104 3230777 3718880 4699312 5874140 6461554 7437760 9398624 11748280 12923108 14875520 16153885 18797248 23496560 25846216 32307770 37594496 46993120 51692432 64615540 93986240 103384864 129231080 187972480 206769728 258462160 413539456 516924320 1033848640 2067697280