Search a number
-
+
2146985730 = 233537920981
BaseRepresentation
bin111111111111000…
…0110011100000010
312112121221011202000
41333332012130002
513344112020410
6553013204430
7104130035421
oct17776063402
95477834660
102146985730
11a01a1017a
124bb030716
13282a5c276
141651db2b8
15c8748dc0
hex7ff86702

2146985730 has 64 divisors (see below), whose sum is σ = 5740675200. Its totient is φ = 570991680.

The previous prime is 2146985719. The next prime is 2146985759. The reversal of 2146985730 is 375896412.

2146985730 is a `hidden beast` number, since 2 + 14 + 69 + 8 + 573 + 0 = 666.

2146985730 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2146985730 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91840 + ... + 112820.

It is an arithmetic number, because the mean of its divisors is an integer number (89698050).

It is a 1-persistent number, because it is pandigital, but 2⋅2146985730 = 4293971460 is not.

Almost surely, 22146985730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146985730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870337600).

2146985730 is an abundant number, since it is smaller than the sum of its proper divisors (3593689470).

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

2146985730 is a wasteful number, since it uses less digits than its factorization.

2146985730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21376 (or 21370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2146985730 is about 46335.5773677204. The cubic root of 2146985730 is about 1290.0594347954.

The spelling of 2146985730 in words is "two billion, one hundred forty-six million, nine hundred eighty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 379 758 1137 1895 2274 3411 3790 5685 6822 10233 11370 17055 20466 20981 34110 41962 51165 62943 102330 104905 125886 188829 209810 314715 377658 566487 629430 944145 1132974 1888290 2832435 5664870 7951799 15903598 23855397 39758995 47710794 71566191 79517990 119276985 143132382 214698573 238553970 357830955 429397146 715661910 1073492865 2146985730