Search a number
-
+
2149579068 = 22371310718397
BaseRepresentation
bin1000000000011111…
…1111100100111100
312112210210221010120
42000013333210330
513400243012233
6553144534540
7104161056240
oct20007774474
95483727116
102149579068
11a0342162a
124bba81450
132834597a0
141656b4420
15c8aac4b3
hex801ff93c

2149579068 has 96 divisors (see below), whose sum is σ = 6231181824. Its totient is φ = 561593088.

The previous prime is 2149579067. The next prime is 2149579099. The reversal of 2149579068 is 8609759412.

2149579068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2149579068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149579067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107646 + ... + 126042.

It is an arithmetic number, because the mean of its divisors is an integer number (64908144).

Almost surely, 22149579068 is an apocalyptic number.

2149579068 is a gapful number since it is divisible by the number (28) 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 2149579068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115590912).

2149579068 is an abundant number, since it is smaller than the sum of its proper divisors (4081602756).

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

2149579068 is a wasteful number, since it uses less digits than its factorization.

2149579068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18531 (or 18529 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 2149579068 is about 46363.5532288025. The cubic root of 2149579068 is about 1290.5786455164.

The spelling of 2149579068 in words is "two billion, one hundred forty-nine million, five hundred seventy-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 182 214 273 321 364 428 546 642 749 1092 1284 1391 1498 2247 2782 2996 4173 4494 5564 8346 8988 9737 16692 18397 19474 29211 36794 38948 55191 58422 73588 110382 116844 128779 220764 239161 257558 386337 478322 515116 717483 772674 956644 1434966 1545348 1674127 1968479 2869932 3348254 3936958 5022381 5905437 6696508 7873916 10044762 11810874 13779353 20089524 23621748 25590227 27558706 41338059 51180454 55117412 76770681 82676118 102360908 153541362 165352236 179131589 307082724 358263178 537394767 716526356 1074789534 2149579068