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2160557740 = 22511113233373
BaseRepresentation
bin1000000011000111…
…0111111010101100
312120120110201001001
42000301313322230
513411100321430
6554220130044
7104353303105
oct20061677254
95516421031
102160557740
11a09640010
12503696924
13285801943
14166d313ac
15c9a2a3ca
hex80c77eac

2160557740 has 96 divisors (see below), whose sum is σ = 5028319296. Its totient is φ = 773283840.

The previous prime is 2160557731. The next prime is 2160557743. The reversal of 2160557740 is 477550612.

2160557740 = 12 + 22 + ... + 18642.

2160557740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2160557740.

It is not an unprimeable number, because it can be changed into a prime (2160557743) 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, 5792194 + ... + 5792566.

It is an arithmetic number, because the mean of its divisors is an integer number (52378326).

Almost surely, 22160557740 is an apocalyptic number.

2160557740 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 2160557740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514159648).

2160557740 is an abundant number, since it is smaller than the sum of its proper divisors (2867761556).

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

2160557740 is a wasteful number, since it uses less digits than its factorization.

2160557740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 2160557740 is about 46481.8000942304. The cubic root of 2160557740 is about 1292.7720650372.

The spelling of 2160557740 in words is "two billion, one hundred sixty million, five hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 233 373 452 466 565 746 932 1130 1165 1243 1492 1865 2260 2330 2486 2563 3730 4103 4660 4972 5126 6215 7460 8206 10252 12430 12815 16412 20515 24860 25630 26329 41030 42149 51260 52658 82060 84298 86909 105316 131645 168596 173818 210745 263290 289619 347636 421490 434545 463639 526580 579238 842980 869090 927278 955999 1158476 1448095 1738180 1854556 1911998 2318195 2896190 3823996 4636390 4779995 5792380 9272780 9559990 9820717 19119980 19641434 39282868 49103585 98207170 108027887 196414340 216055774 432111548 540139435 1080278870 2160557740