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20148345 = 355723103
BaseRepresentation
bin100110011011…
…1000001111001
31101220122100000
41030313001321
520124221340
61555503213
7333154350
oct114670171
941818300
1020148345
1110411828
1268b7b09
134235ac9
142966997
151b7ed30
hex1337079

20148345 has 96 divisors (see below), whose sum is σ = 43610112. Its totient is φ = 8724672.

The previous prime is 20148329. The next prime is 20148347. The reversal of 20148345 is 54384102.

It is not a de Polignac number, because 20148345 - 24 = 20148329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20148347) 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 95 ways as a sum of consecutive naturals, for example, 195564 + ... + 195666.

It is an arithmetic number, because the mean of its divisors is an integer number (454272).

Almost surely, 220148345 is an apocalyptic number.

It is an amenable number.

20148345 is an abundant number, since it is smaller than the sum of its proper divisors (23461767).

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

20148345 is a wasteful number, since it uses less digits than its factorization.

20148345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20148345 is about 4488.6907890832. The cubic root of 20148345 is about 272.1112263176. Note that the first 3 decimals are identical.

The spelling of 20148345 in words is "twenty million, one hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 103 105 115 135 161 189 207 243 309 315 345 405 483 515 567 621 721 805 927 945 1035 1215 1449 1545 1701 1863 2163 2369 2415 2781 2835 3105 3605 4347 4635 5589 6489 7107 7245 8343 8505 9315 10815 11845 13041 13905 16583 19467 21321 21735 25029 27945 32445 35535 39123 41715 49749 58401 63963 65205 82915 97335 106605 125145 149247 175203 191889 195615 248745 292005 319815 447741 575667 746235 876015 959445 1343223 2238705 2878335 4029669 6716115 20148345