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148021965 = 33571312049
BaseRepresentation
bin10001101001010…
…10001011001101
3101022112021222000
420310222023031
5300343200330
622404342513
73445110630
oct1064521315
9338467860
10148021965
1176611103
12416a4a39
1324888780
1415931c17
15cedd560
hex8d2a2cd

148021965 has 64 divisors (see below), whose sum is σ = 323904000. Its totient is φ = 62456832.

The previous prime is 148021963. The next prime is 148021969. The reversal of 148021965 is 569120841.

It is not a de Polignac number, because 148021965 - 21 = 148021963 is a prime.

It is a super-2 number, since 2×1480219652 = 43821004244922450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148021963) 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 63 ways as a sum of consecutive naturals, for example, 6261 + ... + 18309.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000).

Almost surely, 2148021965 is an apocalyptic number.

148021965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148021965 is an abundant number, since it is smaller than the sum of its proper divisors (175882035).

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

148021965 is a wasteful number, since it uses less digits than its factorization.

148021965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 148021965 is about 12166.4277830430. The cubic root of 148021965 is about 528.9834138712.

The spelling of 148021965 in words is "one hundred forty-eight million, twenty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12049 12285 36147 60245 84343 108441 156637 180735 253029 325323 421715 469911 542205 759087 783185 1096459 1265145 1409733 1626615 2277261 2349555 3289377 3795435 4229199 5482295 7048665 9868131 11386305 16446885 21145995 29604393 49340655 148021965