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2148765390 = 2325115320707
BaseRepresentation
bin1000000000010011…
…1000111011001110
312112202021120222100
42000010320323032
513400040443030
6553115255530
7104151130062
oct20004707316
95482246870
102148765390
11a02a16272
124bb74a5a6
13283233315
14165541aa2
15c899b360
hex80138ece

2148765390 has 48 divisors (see below), whose sum is σ = 5591905488. Its totient is φ = 572479488.

The previous prime is 2148765389. The next prime is 2148765397. The reversal of 2148765390 is 935678412.

2148765390 is a `hidden beast` number, since 2 + 1 + 48 + 76 + 539 + 0 = 666.

2148765390 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).

2148765390 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148765397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93417 + ... + 114123.

It is an arithmetic number, because the mean of its divisors is an integer number (116498031).

It is a 1-persistent number, because it is pandigital, but 2⋅2148765390 = 4297530780 is not.

Almost surely, 22148765390 is an apocalyptic number.

2148765390 is an abundant number, since it is smaller than the sum of its proper divisors (3443140098).

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

2148765390 is a wasteful number, since it uses less digits than its factorization.

2148765390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21873 (or 21870 counting only the distinct ones).

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

The square root of 2148765390 is about 46354.7774236917. Note that the first 3 decimals coincide. The cubic root of 2148765390 is about 1290.4157844871.

The spelling of 2148765390 in words is "two billion, one hundred forty-eight million, seven hundred sixty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1153 2306 3459 5765 6918 10377 11530 17295 20707 20754 34590 41414 51885 62121 103535 103770 124242 186363 207070 310605 372726 621210 931815 1863630 23875171 47750342 71625513 119375855 143251026 214876539 238751710 358127565 429753078 716255130 1074382695 2148765390