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2120211440 = 245171558979
BaseRepresentation
bin111111001011111…
…1101101111110000
312110202112220022122
41332113331233300
513320233231230
6550215253412
7103353333314
oct17627755760
95422486278
102120211440
11998893266
124b207a268
1327a3465a9
1416182bb44
15c620abe5
hex7e5fdbf0

2120211440 has 40 divisors (see below), whose sum is σ = 5219465040. Its totient is φ = 798196736.

The previous prime is 2120211439. The next prime is 2120211469. The reversal of 2120211440 is 441120212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778130 + ... + 780849.

It is an arithmetic number, because the mean of its divisors is an integer number (130486626).

Almost surely, 22120211440 is an apocalyptic number.

2120211440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120211440 is an abundant number, since it is smaller than the sum of its proper divisors (3099253600).

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

2120211440 is a wasteful number, since it uses less digits than its factorization.

2120211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559009 (or 1559003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2120211440 is about 46045.7537673128. The cubic root of 2120211440 is about 1284.6743642358.

Adding to 2120211440 its reverse (441120212), we get a palindrome (2561331652).

The spelling of 2120211440 in words is "two billion, one hundred twenty million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1558979 3117958 6235916 7794895 12471832 15589790 24943664 26502643 31179580 53005286 62359160 106010572 124718320 132513215 212021144 265026430 424042288 530052860 1060105720 2120211440