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2148657930 = 2325239711069
BaseRepresentation
bin1000000000010001…
…1110101100001010
312112202002010120100
42000010132230022
513400024023210
6553113110230
7104150201556
oct20004365412
95482063510
102148657930
11a02952561
124bb6b8376
132831c6433
14165514866
15c89795c0
hex8011eb0a

2148657930 has 96 divisors (see below), whose sum is σ = 5840864640. Its totient is φ = 546986880.

The previous prime is 2148657923. The next prime is 2148657947. The reversal of 2148657930 is 397568412.

2148657930 is a `hidden beast` number, since 2 + 1 + 48 + 6 + 579 + 30 = 666.

2148657930 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).

2148657930 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2009436 + ... + 2010504.

It is an arithmetic number, because the mean of its divisors is an integer number (60842340).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2148657930 = 4297315860, but 3⋅2148657930 = 6445973790 is not.

Almost surely, 22148657930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148657930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920432320).

2148657930 is an abundant number, since it is smaller than the sum of its proper divisors (3692206710).

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

2148657930 is a wasteful number, since it uses less digits than its factorization.

2148657930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2073 counting only the distinct ones).

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

The square root of 2148657930 is about 46353.6183053707. The cubic root of 2148657930 is about 1290.3942728488.

The spelling of 2148657930 in words is "two billion, one hundred forty-eight million, six hundred fifty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 971 1035 1069 1942 2070 2138 2913 3207 4855 5345 5826 6414 8739 9621 9710 10690 14565 16035 17478 19242 22333 24587 29130 32070 43695 44666 48105 49174 66999 73761 87390 96210 111665 122935 133998 147522 200997 221283 223330 245870 334995 368805 401994 442566 669990 737610 1004985 1037999 1106415 2009970 2075998 2212830 3113997 5189995 6227994 9341991 10379990 15569985 18683982 23873977 31139970 46709955 47747954 71621931 93419910 119369885 143243862 214865793 238739770 358109655 429731586 716219310 1074328965 2148657930