Search a number
-
+
2060116416 = 2634587677
BaseRepresentation
bin111101011001010…
…1110000111000000
312022120110202110000
41322302232013000
513204342211131
6540231240000
7102023462211
oct17262560700
95276422400
102060116416
11967977a56
12495b19000
1326aa652c7
14157867408
15c0cd9ce6
hex7acae1c0

2060116416 has 140 divisors (see below), whose sum is σ = 6126269688. Its totient is φ = 684523008.

The previous prime is 2060116379. The next prime is 2060116453. The reversal of 2060116416 is 6146110602.

2060116416 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 11 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2060116379) and next prime (2060116453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2060116416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3042670 + ... + 3043346.

Almost surely, 22060116416 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 2060116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063134844).

2060116416 is an abundant number, since it is smaller than the sum of its proper divisors (4066153272).

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

2060116416 is an equidigital number, since it uses as much as digits as its factorization.

2060116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2060116416 is about 45388.5053289927. The cubic root of 2060116416 is about 1272.4202954286.

The spelling of 2060116416 in words is "two billion, sixty million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 587 648 677 864 1174 1296 1354 1728 1761 2031 2348 2592 2708 3522 4062 4696 5184 5283 5416 6093 7044 8124 9392 10566 10832 12186 14088 15849 16248 18279 18784 21132 21664 24372 28176 31698 32496 36558 37568 42264 43328 47547 48744 54837 56352 63396 64992 73116 84528 95094 97488 109674 112704 126792 129984 146232 169056 190188 194976 219348 253584 292464 338112 380376 389952 397399 438696 507168 584928 760752 794798 877392 1014336 1169856 1192197 1521504 1589596 1754784 2384394 3043008 3179192 3509568 3576591 4768788 6358384 7153182 9537576 10729773 12716768 14306364 19075152 21459546 25433536 28612728 32189319 38150304 42919092 57225456 64378638 76300608 85838184 114450912 128757276 171676368 228901824 257514552 343352736 515029104 686705472 1030058208 2060116416