Search a number
-
+
2168987058 = 234721716073
BaseRepresentation
bin1000000101001000…
…0001110110110010
312121011022221220000
42001102001312302
513420230041213
6555120530430
7104515041300
oct20122016662
95534287800
102168987058
11a13378097
12506480a16
132874935c4
141680c7270
15ca642c73
hex81481db2

2168987058 has 120 divisors (see below), whose sum is σ = 5986568412. Its totient is φ = 583220736.

The previous prime is 2168987057. The next prime is 2168987069. The reversal of 2168987058 is 8507898612.

It can be written as a sum of positive squares in 2 ways, for example, as 2167554249 + 1432809 = 46557^2 + 1197^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2168986995 and 2168987013.

It is not an unprimeable number, because it can be changed into a prime (2168987057) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126910 + ... + 142982.

Almost surely, 22168987058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168987058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993284206).

2168987058 is an abundant number, since it is smaller than the sum of its proper divisors (3817581354).

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

2168987058 is a wasteful number, since it uses less digits than its factorization.

2168987058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16118 (or 16102 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2168987058 is about 46572.3851439885. The cubic root of 2168987058 is about 1294.4511138689.

The spelling of 2168987058 in words is "two billion, one hundred sixty-eight million, nine hundred eighty-seven thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 81 98 102 119 126 147 153 162 189 238 294 306 357 378 441 459 567 714 833 882 918 1071 1134 1323 1377 1666 2142 2499 2646 2754 3213 3969 4998 6426 7497 7938 9639 14994 16073 19278 22491 32146 44982 48219 67473 96438 112511 134946 144657 225022 273241 289314 337533 433971 546482 675066 787577 819723 867942 1012599 1301913 1575154 1639446 1912687 2025198 2362731 2459169 2603826 3037797 3825374 4725462 4918338 5738061 6075594 7088193 7377507 9113391 11476122 13388809 14176386 14755014 17214183 18226782 21264579 22132521 26777618 34428366 40166427 42529158 44265042 51642549 63793737 80332854 103285098 120499281 127587474 154927647 240998562 309855294 361497843 722995686 1084493529 2168987058